Question

Solve the quadratic y = −x^2 + 4x + 1 with steps plz!

Answer 1

Answer:

x = -0.24 or 3.73

Step-by-step explanation:

$\frac{-b + \sqrt{b^{2} -4ac } }{2a}$ (There's supposed to be a ± between '-b' and the square root)

$x^{2}$ + 4x + 1 ( $ax^{2} + bx + c$ )

a = -1 ( there's no number before $x^{2}$ so its 1 )

b = 4

c = 1

Substitute into the quadratic equation.

$\frac{-4 + \sqrt{4^{2} -4x1x-1 } }{2x-1}$ ( the $x$ is just the multiplication sign )

=  $\frac{-4 + \sqrt{{16} +4 } }{-2}$

$\frac{-4 + \sqrt{{20} } }{-2}$ = -0.24    [OR]     $\frac{-4 - \sqrt{{20} } }{-2}$ = 3.73

( The answers are to 2 decimal places )