Question

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

-b

X=-

Vb2 - 4ac

2a

Answer 1

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

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=(-b\pm√(b^2-4ac))/(2a)`

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

Substitute the values,

`x=(-7\pm√(7^2-4(1)(-4)))/(2(1))`

`x=(-7\pm√(65))/(2)`

`x=(-7+√(65))/(2),(-7-√(65))/(2)`

`x=0.53,-7.53`

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