What are the solution(s) to the quadratic equation 9x2 = 4?

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 353 People

What are the solution(s) to the quadratic equation 9x2 = 4?
x =4/9 and x = -4/9
x = 2/3 and x = -2/3
x = 3/2 and x = -3/2
no real solution

Answered by maham237 @ 25/12/2020

we have

$9x^{2}=4$

Divide both sides by $9$

$9x^{2}/9=4/9$

$x^{2}=4/9$

Square root both sides

$x=(+/-)\sqrt{\frac{4}{9}}$

$x=(+/-)\frac{2}{3}$

the solutions are

$x1=\frac{2}{3}$

$x2=-\frac{2}{3}$

therefore

the answer is the option

x = 2/3 and x = -2/3

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