Question

Can someone solve this Quadratic Equation using the formula (x=-b+and minus under the plus, then square root b^2-4ac divide in the bottom with 2a)

1. x^2=-5x+2
2.x^2+4x+17=8-2x

Answer 1

Explanation:

We need to solve the given quadratic equations.

1.

`x^2=-5x+2\\\\x^2+5x-2=0`

Using the formula to find solutions.

We have, a = 1, b = 5 and c = -2

So,

`x=(-5\pm √(5^2-4(1)(-2)) )/(2)\\\\x=0.37,-5.37`

2.

`x^2+4x+17=8-2x\\\\x^2+4x+17-8+2x=0\\\\x^2+6x+9=0`

We have,

a = 1, b = 6 and c = 9

`x=(-6\pm √(6^2-4(1)(9)) )/(2)\\\\x=-3,-3`

Hence, this is the required solution.