Question

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

Answer 1

x = -0.24 or 3.73

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 )