Question

Solve by using the quadratic formula: Simplify

Answer 1

x =
`(48 - √(1984) )/(-8)`

x =
`(48 + √(1984) )/(-8)`

Explanation:

-4
`x^(2)` - 48x - 20 = 0

Remember, the quadratic formula is:

x =
`\frac{-b +- \sqrt{b^(2) -4ac } }{2a}`

A quardatic equation in standard form is;

a
`x^(2)` + bx + c

Substitute in the values and solve;

`(48 +- √((-48)^2 - 4 * (-4) * (-20)) )/(2*(-4))`

Simplify;

`(48 +-√(2304 -320) )/(-8)`

x =
`(48 +- √(1984) )/(-8)`

x =
`(48 - √(1984) )/(-8)`

x =
`(48 + √(1984) )/(-8)`

Answer 2

-6 - square root 31, -6 + square root 31