What are the solutions to the equation -27=4x^2-24x ?

The solutions to the equation -27=4x^2-24x are x= 9/2 ,x= 3/2

Find the zeros of -27=4x^2-24x

The zeros of -27=4x^2-24x are x= 9/2 ,x= 3/2

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- 27 = 4 x^{2} - 24 x

x = \frac{9}{2}, x = \frac{3}{2}

Decimal Notation

x = 4.5, x = 1.5

Solution steps

- 27 = 4 x^{2} - 24 x

Switch sides

4 x^{2} - 24 x = - 27

Move

27

to the left side

4 x^{2} - 24 x + 27 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 4 \cdot 27}{2 \cdot 4}

(- 24)^{2} - 4 \cdot 4 \cdot 27 = 12

x_{1, 2} = \frac{- ( - 24 ) \pm 12}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 12}{2 \cdot 4}, x_{2} = \frac{- ( - 24 ) - 12}{2 \cdot 4}

x = \frac{- ( - 24 ) + 12}{2 \cdot 4} : \frac{9}{2}

x = \frac{- ( - 24 ) - 12}{2 \cdot 4} : \frac{3}{2}

The solutions to the quadratic equation are:

x = \frac{9}{2}, x = \frac{3}{2}

x, 21.8 x^{2} - 202 x - 60 = 0

x, 4 x^{2} + 8 y^{2} - 4 z^{2} = 0

x^{2} - 7 x + 42 = 0

x, x^{2} + K x + 9 = 0

x, 9 x^{2} - 4 y^{2} - z^{2} + 16 y - 17 = 0

What are the solutions to the equation -27=4x^2-24x ?
The solutions to the equation -27=4x^2-24x are x= 9/2 ,x= 3/2
Find the zeros of -27=4x^2-24x
The zeros of -27=4x^2-24x are x= 9/2 ,x= 3/2