What are the solutions to the equation 15x^2-6=x ?

The solutions to the equation 15x^2-6=x are x= 2/3 ,x=-3/5

Find the zeros of 15x^2-6=x

The zeros of 15x^2-6=x are x= 2/3 ,x=-3/5

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15 x^{2} - 6 = x

x = \frac{2}{3}, x = - \frac{3}{5}

Decimal Notation

x = 0.66666 \dots, x = - 0.6

Solution steps

15 x^{2} - 6 = x

Move

x

to the left side

15 x^{2} - 6 - x = 0

Write in the standard form

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

15 x^{2} - x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 15 ( - 6 )}{2 \cdot 15}

(- 1)^{2} - 4 \cdot 15 (- 6) = 19

x_{1, 2} = \frac{- ( - 1 ) \pm 19}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 19}{2 \cdot 15}, x_{2} = \frac{- ( - 1 ) - 19}{2 \cdot 15}

x = \frac{- ( - 1 ) + 19}{2 \cdot 15} : \frac{2}{3}

x = \frac{- ( - 1 ) - 19}{2 \cdot 15} : - \frac{3}{5}

The solutions to the quadratic equation are:

x = \frac{2}{3}, x = - \frac{3}{5}

7 (x - 3) + 3 (4 - x) = - 8

1 < ∣ x ∣ < 2

\frac{1}{3} π

- 4 ∣ 5 x - 1 ∣ = - 24

x^{2} - 4 x + 4 = 16

What are the solutions to the equation 15x^2-6=x ?
The solutions to the equation 15x^2-6=x are x= 2/3 ,x=-3/5
Find the zeros of 15x^2-6=x
The zeros of 15x^2-6=x are x= 2/3 ,x=-3/5