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

Asked by maham237 @ 29/11/2020 in Mathematics viewed by 499 People

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

Answered by maham237 @ 29/11/2020

Answer:

The last option is the correct one

Explanation:

The general form of the quadratic equation is:

ax² + bx + c = 0

The given equation is:

x² + 20 = 2x

which can be rewritten as:

x² - 2x + 20 = 0

By comparison:

a = 1

b = -2

c = 20

The quadratic formula used to get the roots is shown in the attached image

We now substitute to get the roots as follows:

x = $\frac{2+\sqrt{(-2)^2-4(1)(20)}}{2(1)} = 1+\sqrt{19} i$

or x = $\frac{2-\sqrt{(-2)^2-4(1)(20)}}{2(1)} = 1-\sqrt{19} i$

Hope this helps :)

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