Question

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

Answer 1

`x=(-5+√(33) )/(2)`

`x=(-5-√(33) )/(2)`

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=(-5+√(33) )/(21)\\x_2=(-5-√(25+8 ) )/(2)\\x_2=(-5-√(33) )/(2)`