What are the solutions to the equation 4x^2-9x-8=-4x ?

The solutions to the equation 4x^2-9x-8=-4x are x=(5+3sqrt(17))/8 ,x=(5-3sqrt(17))/8

Find the zeros of 4x^2-9x-8=-4x

The zeros of 4x^2-9x-8=-4x are x=(5+3sqrt(17))/8 ,x=(5-3sqrt(17))/8

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4 x^{2} - 9 x - 8 = - 4 x

x = \frac{5 + 3 17}{8}, x = \frac{5 - 3 17}{8}

Decimal Notation

x = 2.17116 \dots, x = - 0.92116 \dots

Solution steps

4 x^{2} - 9 x - 8 = - 4 x

Move

4 x

to the left side

4 x^{2} - 5 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 4 ( - 8 )}{2 \cdot 4}

(- 5)^{2} - 4 \cdot 4 (- 8) = 317

x_{1, 2} = \frac{- ( - 5 ) \pm 3 17}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 3 17}{2 \cdot 4}, x_{2} = \frac{- ( - 5 ) - 3 17}{2 \cdot 4}

x = \frac{- ( - 5 ) + 3 17}{2 \cdot 4} : \frac{5 + 3 17}{8}

x = \frac{- ( - 5 ) - 3 17}{2 \cdot 4} : \frac{5 - 3 17}{8}

The solutions to the quadratic equation are:

x = \frac{5 + 3 17}{8}, x = \frac{5 - 3 17}{8}

\frac{11 π}{6} - π

2 x^{2} = 3 x + 9

\frac{18 x ^{2} y ^{3} z ^{2}}{30 x ^{2} y z ^{4}}

x^{4} y^{4}

q^{2} = - 25

What are the solutions to the equation 4x^2-9x-8=-4x ?
The solutions to the equation 4x^2-9x-8=-4x are x=(5+3sqrt(17))/8 ,x=(5-3sqrt(17))/8
Find the zeros of 4x^2-9x-8=-4x
The zeros of 4x^2-9x-8=-4x are x=(5+3sqrt(17))/8 ,x=(5-3sqrt(17))/8