Question

Use the Quadratic Formula to find the exact solutions of x2 + 7x - 4 = 0.

Answer 1

Answer:

The solution of equation $x^2+7x-4=0$ is 0.53,-7.53.

Step-by-step explanation:

Given : Quadratic equation $x^2+7x-4=0$

To find : The solution of equation ?

Solution :

The solution of the quadratic equation $ax^2+bx+c=0$ is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, a=1, b=7 and c=-4.

Substitute the values,

$x=\frac{-7\pm\sqrt{7^2-4(1)(-4)}}{2(1)}$

$x=\frac{-7\pm\sqrt{65}}{2}$

$x=\frac{-7+\sqrt{65}}{2},\frac{-7-\sqrt{65}}{2}$

$x=0.53,-7.53$

Therefore, the solution of equation $x^2+7x-4=0$ is 0.53,-7.53.