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3 years ago

What are the exact solutions of x^2 = 5x + 2?

1 answer:

5 0

Move everybody to one side
minus 5x+2 both sides
x^2-5x-2=0
use quadratic formula where
if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

1x^2-5x-2=0
a=1
b=-5
c=-2

x= $\frac{-(-5)+/- \sqrt{(-5)^{2}-4(1)(-2)} }{2(1)}$
x= $\frac{5+/- \sqrt{25+8} }{2}$
x= $\frac{5+/- \sqrt{33} }{2}$

aprox
x=5.372281323 or -0.3722813233

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