What are the solutions to the equation 4x^2-90=2x ?

The solutions to the equation 4x^2-90=2x are x=5,x=-9/2

Find the zeros of 4x^2-90=2x

The zeros of 4x^2-90=2x are x=5,x=-9/2

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4 x^{2} - 90 = 2 x

x = 5, x = - \frac{9}{2}

Decimal Notation

x = 5, x = - 4.5

Solution steps

4 x^{2} - 90 = 2 x

Move

2 x

to the left side

4 x^{2} - 90 - 2 x = 0

Write in the standard form

a x^{2} + b x + c = 0

4 x^{2} - 2 x - 90 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 4 ( - 90 )}{2 \cdot 4}

(- 2)^{2} - 4 \cdot 4 (- 90) = 38

x_{1, 2} = \frac{- ( - 2 ) \pm 38}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 38}{2 \cdot 4}, x_{2} = \frac{- ( - 2 ) - 38}{2 \cdot 4}

x = \frac{- ( - 2 ) + 38}{2 \cdot 4} : 5

x = \frac{- ( - 2 ) - 38}{2 \cdot 4} : - \frac{9}{2}

The solutions to the quadratic equation are:

x = 5, x = - \frac{9}{2}

y, 4 x^{2} - 9 y^{2} - 16 x - 18 y + 7 = 0

x^{2} - 5 x - 10

a^{2} = 196

6 x^{2} - 13 x - 8 = 0

4 x^{2} - 4 x - 3 = 2

What are the solutions to the equation 4x^2-90=2x ?
The solutions to the equation 4x^2-90=2x are x=5,x=-9/2
Find the zeros of 4x^2-90=2x
The zeros of 4x^2-90=2x are x=5,x=-9/2