Solving quadratic equations by using the quadratic formula 9 5

Asked by admin @ in Mathematics viewed by 371 People

Solve the following quadratic equation using the quadratic formula.

5x^2 − 8x + 5 = 0
Write the solutions in the following form, where r, s, and t are integers, and the fractions are in simplest form.
x = r − si/t,x = r + si/t

Answered by admin @


Quadratic equations can be solved using several methods; one of them, is by using quadratic formula

The solution to 5x^2 - 8x + 5 = 0 is: x = \frac{4 + 3i}{5}, x = \frac{4 - 3i}{5}

The equation is given as:

5x^2 - 8x + 5 = 0

The quadratic formula is:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

In the given equation;

a = 5\\b = -8\\c = 5

So:

x = \frac{-(-8) \± \sqrt{(-8)^2 - 4 \times 5 \times 5}}{2 \times 5}

x = \frac{8 \± \sqrt{-36}}{10}

Expand

x = \frac{8 \± \sqrt{36} \times \sqrt{-1}}{10}

x = \frac{8 \± 6 \times \sqrt{-1}}{10}

In complex numbers;

i = \sqrt{-1}

So, we have:

x = \frac{8 \± 6 \times i}{10}

x = \frac{8 \± 6i}{10}

Simplify

x = \frac{4 \± 3i}{5}

Split

x = \frac{4 + 3i}{5}, x = \frac{4 - 3i}{5}

Hence, the solution to 5x^2 - 8x + 5 = 0 is: x = \frac{4 + 3i}{5}, x = \frac{4 - 3i}{5}

Read more about quadratic formulas at:

brainly.com/question/9701183


Similar Questions

How to solve an equation without using the quadratic formula

Asked by admin @ in Mathematics viewed by 311 persons

What is y^2-6y=0 without using quadratic formula?

What is solving quadratic equation by using the quadratic formula

Asked by admin @ in Mathematics viewed by 279 persons

How do I solve a quadratic equation using the Quadratic Formula?

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?

Asked by wiki @ in Mathematics viewed by 448 persons

How to solve using completing the square in quadratic equation

Asked by admin @ in Mathematics viewed by 335 persons

How do I solve a Quadratic Equation using Completing the Square method Please keep it short and brief like if you were explaining it to someone who just randomly came …

Which equation shows the quadratic formula used correctly to solve 5x2 + 3x – 4 = 0 for x?

Asked by wiki @ in Mathematics viewed by 818 persons

How to solve quadratic equations using the square root method

Asked by admin @ in Mathematics viewed by 299 persons

How can square roots be used to solve quadratic equations?

Using the quadratic formula to solve x2 = 5 – x, what are the values of x?

Asked by maham237 @ in Mathematics viewed by 360 persons

Solve the quadratic equation 4 x 3 5 2x 3

Asked by admin @ in Math viewed by 411 persons

Solve by factorization method: (4/x ) -3 = 5/(2x+3) , x≠ 0, -3/2.

Solve using quadratic formula 2x 2 5x 3 0

Asked by admin @ in Math viewed by 359 persons

Find the roots of the equation 2x 2 – 5x + 3 = 0, by using quadratic formula.

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. his steps are shown below.

Asked by maham237 @ in Mathematics viewed by 337 persons

nathaniel is using the quadratic formula to solve 0 = x2 5x - 6. his steps are shown below. what are the solutions to the equation? x = –1, 6 …

Which equation can be solved by using this system of equations?

Asked by maham237 @ in Mathematics viewed by 337 persons

Which equation can be solved by using this system of equations? y = 3x^3 - 7x^2 + 5 y = 7x^4 + 2x A.) 3x^3 - 7x^2 +5 = 0 …

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

Asked by maham237 @ in Mathematics viewed by 492 persons

a. 1+-/21 i b.-1+-/19i c. 1+-2/19i d. 1+-/19i

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

Asked by wiki @ in Mathematics viewed by 349 persons

What is the square root method when solving quadratic equation

Asked by admin @ in Mathematics viewed by 288 persons

How can square roots be used to solve quadratic equations?

Use the product to solve the system of equations

Asked by admin @ in Math viewed by 314 persons

Use product [1 -1 2 0 2 -3 3 -2 4 -2 0 1 9 2 -3 6 1 -2 ] to solve the system of equations x-y+2z=1 2y-3z=1 3x-2y+4z=-2. …

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

Asked by maham237 @ in Mathematics viewed by 18341 persons

All things algebra unit 7 polygons and quadrilaterals answer key

Asked by admin @ in Mathematics viewed by 8139 persons

Gina wilson all things algebra 2016 answer key unit 11

Asked by admin @ in Mathematics viewed by 5764 persons

Unit 1 geometry basics homework 4 angle addition postulate answers

Asked by maham237 @ in Mathematics viewed by 3929 persons

Unit 6 exponents and exponential functions homework 8 answer key

Asked by maham237 @ in Mathematics viewed by 3246 persons

The manager of a vacation resort believes that the ages

Asked by maham237 @ in Mathematics viewed by 2918 persons

What is 271 403 rounded to the nearest ten thousand

Asked by maham237 @ in Mathematics viewed by 2779 persons

Unit 1 geometry basics homework 3 angle relationships answer key

Asked by maham237 @ in Mathematics viewed by 2572 persons

Homework 2 parallelograms

Asked by maham237 @ in Mathematics viewed by 2491 persons

Why would a prism beat a sphere in a competition?

Asked by maham237 @ in Mathematics viewed by 2473 persons

John wants to send a letter to peter

Asked by maham237 @ in Mathematics viewed by 2457 persons

An artist sells a painting for 20.50 but uses 5.75

Asked by maham237 @ in Mathematics viewed by 2423 persons

Unit 4 congruent triangles homework 1 classifying triangles answer key

Asked by maham237 @ in Mathematics viewed by 2413 persons

Unit 4 congruent triangles homework 2 angles of triangles

Asked by maham237 @ in Mathematics viewed by 2068 persons

Compare the values of the 2s and 5s in 55220

Asked by maham237 @ in Mathematics viewed by 1788 persons