Question

What does x equal in 150 = -6(x)^2 + 100x -180

Answer 1

x=\frac{25-\sqrt{130}}{3}

Explanation:

x_{1,\:2}=\frac{-100\pm \sqrt{100^2-4\left(-6\right)\left(-330\right)}}{2\left(-6\right)}

x_{1,\:2}=\frac{-100\pm \:4\sqrt{130}}{2\left(-6\right)}

x_1=\frac{-100+4\sqrt{130}}{2\left(-6\right)},\:x_2=\frac{-100-4\sqrt{130}}{2\left(-6\right)}

x=\frac{25-\sqrt{130}}{3},\:x=\frac{25+\sqrt{130}}{3}

Answer 2

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

x

=

25

+

√

130

3

,

25

−

√

130

3

Decimal Form:

x

=

12.13391808

…

,

4.53274858

…

Explanation: