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

Can someone solve this Quadratic Equation using the formula xband minus under the plus then square root b24ac divide in the bottom with 2a 1 x25x2 2x24x1782x class=

Respuesta :

Step-by-step explanation:

We need to solve the given quadratic equations.

1.

[tex]x^2=-5x+2\\\\x^2+5x-2=0[/tex]

Using the formula to find solutions.

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

So,

[tex]x=\dfrac{-5\pm \sqrt{5^2-4(1)(-2)} }{2}\\\\x=0.37,-5.37[/tex]

2.

[tex]x^2+4x+17=8-2x\\\\x^2+4x+17-8+2x=0\\\\x^2+6x+9=0[/tex]

We have,

a = 1, b = 6 and c = 9

[tex]x=\dfrac{-6\pm \sqrt{6^2-4(1)(9)} }{2}\\\\x=-3,-3[/tex]

Hence, this is the required solution.