What are the solutions to the equation 6x^2-10=4x ?

The solutions to the equation 6x^2-10=4x are x= 5/3 ,x=-1

Find the zeros of 6x^2-10=4x

The zeros of 6x^2-10=4x are x= 5/3 ,x=-1

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6 x^{2} - 10 = 4 x

x = \frac{5}{3}, x = - 1

Decimal

x = 1.66666 \dots, x = - 1

Solution steps

6 x^{2} - 10 = 4 x

Move

4 x

to the left side

6 x^{2} - 10 - 4 x = 0

Write in the standard form

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

6 x^{2} - 4 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 6 ( - 10 )}{2 \cdot 6}

(- 4)^{2} - 4 \cdot 6 (- 10) = 16

x_{1, 2} = \frac{- ( - 4 ) \pm 16}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 16}{2 \cdot 6}, x_{2} = \frac{- ( - 4 ) - 16}{2 \cdot 6}

x = \frac{- ( - 4 ) + 16}{2 \cdot 6} : \frac{5}{3}

x = \frac{- ( - 4 ) - 16}{2 \cdot 6} : - 1

The solutions to the quadratic equation are:

x = \frac{5}{3}, x = - 1

∣ x + 6 ∣ \geq 6

- 2 + 4 x > 2 x - 5

4 x^{2} \cdot 3 x

3 t^{2} - 30 t + 72 = 0

- 6 + 4

What are the solutions to the equation 6x^2-10=4x ?
The solutions to the equation 6x^2-10=4x are x= 5/3 ,x=-1
Find the zeros of 6x^2-10=4x
The zeros of 6x^2-10=4x are x= 5/3 ,x=-1