Question

Solve the quadratic equation 2 x square + a x minus a square is equal to zero for x

Answer 1

PLS MARK AS BRAINLIEST......

Answer 2

The solution of the equation is $x=\frac{a}{2},-a$

Step-by-step explanation:

Given : Quadratic equation $2x^2+ax-a^2=0$

To find : Solve the quadratic equation ?

Solution :

Quadratic equation $ax^2+bx+c=0$ solution is given by quadratic formula

$x=\frac{-B\pm\sqrt{B^2-4AC}}{2A}$

Quadratic equation $2x^2+ax-a^2=0$

Here, A=2, B=a, $C=-a^2$

Substitute the values,

$x=\frac{-a\pm\sqrt{a^2-4(2)(-a^2)}}{2(2)}$

$x=\frac{-a\pm\sqrt{a^2+8a^2)}}{4}$

$x=\frac{-a\pm\sqrt{9a^2)}}{4}$

$x=\frac{-a\pm3a}{4}$

$x=\frac{-a+3a}{4},\frac{-a-3a}{4}$

$x=\frac{2a}{4},\frac{-4a}{4}$

$x=\frac{a}{2},-a$

Therefore, the solution of the equation is $x=\frac{a}{2},-a$

#Learn more

3x^2-2x-1 quadratic equation ​

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