Question

Solve. x2+5x−2=0 Enter your answers, as exact values, in the boxes. x = or x =

Answer 1

Answer:

$x=\frac{-5+\sqrt{33} }{2}$

$x=\frac{-5-\sqrt{33} }{2}$

Step-by-step explanation:

Using the quadratic formula in which a=1, b=5 and c=-2

$x_1=\frac{-b+\sqrt{b^{2}-4ac } }{2a} \\x_2=\frac{-b-\sqrt{b^{2}-4ac } }{2a}\\x_1=\frac{-5+\sqrt{5^{2}-4(1)(-2) } }{2(1)}\\x_1=\frac{-5+\sqrt{33} }{21}\\x_2=\frac{-5-\sqrt{25+8 } }{2}\\x_2=\frac{-5-\sqrt{33} }{2}$