What are the solutions to the equation 5x^2-104=6x ?

The solutions to the equation 5x^2-104=6x are x= 26/5 ,x=-4

Find the zeros of 5x^2-104=6x

The zeros of 5x^2-104=6x are x= 26/5 ,x=-4

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5 x^{2} - 104 = 6 x

x = \frac{26}{5}, x = - 4

Decimal Notation

x = 5.2, x = - 4

Solution steps

5 x^{2} - 104 = 6 x

Move

6 x

to the left side

5 x^{2} - 104 - 6 x = 0

Write in the standard form

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

5 x^{2} - 6 x - 104 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 5 ( - 104 )}{2 \cdot 5}

(- 6)^{2} - 4 \cdot 5 (- 104) = 46

x_{1, 2} = \frac{- ( - 6 ) \pm 46}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 46}{2 \cdot 5}, x_{2} = \frac{- ( - 6 ) - 46}{2 \cdot 5}

x = \frac{- ( - 6 ) + 46}{2 \cdot 5} : \frac{26}{5}

x = \frac{- ( - 6 ) - 46}{2 \cdot 5} : - 4

The solutions to the quadratic equation are:

x = \frac{26}{5}, x = - 4

x^{2} + 4 x = 21

(- i) (- i)

\frac{4 p}{5} + 3 = \frac{3}{7} + 5 p

4 ∣ 7 x ∣ + 5 = 29

4 x^{2} - 29 x - 63 = 0

What are the solutions to the equation 5x^2-104=6x ?
The solutions to the equation 5x^2-104=6x are x= 26/5 ,x=-4
Find the zeros of 5x^2-104=6x
The zeros of 5x^2-104=6x are x= 26/5 ,x=-4