What are the solutions to the equation 90=18-24x+6x^2 ?

The solutions to the equation 90=18-24x+6x^2 are x=6,x=-2

Find the zeros of 90=18-24x+6x^2

The zeros of 90=18-24x+6x^2 are x=6,x=-2

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90 = 18 - 24 x + 6 x^{2}

x = 6, x = - 2

Solution steps

90 = 18 - 24 x + 6 x^{2}

Switch sides

18 - 24 x + 6 x^{2} = 90

Move

90

to the left side

6 x^{2} - 24 x - 72 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 6 ( - 72 )}{2 \cdot 6}

(- 24)^{2} - 4 \cdot 6 (- 72) = 48

x_{1, 2} = \frac{- ( - 24 ) \pm 48}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 48}{2 \cdot 6}, x_{2} = \frac{- ( - 24 ) - 48}{2 \cdot 6}

x = \frac{- ( - 24 ) + 48}{2 \cdot 6} : 6

x = \frac{- ( - 24 ) - 48}{2 \cdot 6} : - 2

The solutions to the quadratic equation are:

x = 6, x = - 2

2 x = 2 x^{2}

10 x \frac{- 8 x - 3}{4} = 2 (x - 3)

z^{2} - 2 z + 10 = 0

x^{2} + 17 x + 66 = 0

2 x^{2} - x = - 5

What are the solutions to the equation 90=18-24x+6x^2 ?
The solutions to the equation 90=18-24x+6x^2 are x=6,x=-2
Find the zeros of 90=18-24x+6x^2
The zeros of 90=18-24x+6x^2 are x=6,x=-2