What are the solutions to the equation 15x^2-6=-13x ?

The solutions to the equation 15x^2-6=-13x are x= 1/3 ,x=-6/5

Find the zeros of 15x^2-6=-13x

The zeros of 15x^2-6=-13x are x= 1/3 ,x=-6/5

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15 x^{2} - 6 = - 13 x

x = \frac{1}{3}, x = - \frac{6}{5}

Decimal Notation

x = 0.33333 \dots, x = - 1.2

Solution steps

15 x^{2} - 6 = - 13 x

Move

13 x

to the left side

15 x^{2} - 6 + 13 x = 0

Write in the standard form

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

15 x^{2} + 13 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 15 ( - 6 )}{2 \cdot 15}

1 3^{2} - 4 \cdot 15 (- 6) = 23

x_{1, 2} = \frac{- 13 \pm 23}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- 13 + 23}{2 \cdot 15}, x_{2} = \frac{- 13 - 23}{2 \cdot 15}

x = \frac{- 13 + 23}{2 \cdot 15} : \frac{1}{3}

x = \frac{- 13 - 23}{2 \cdot 15} : - \frac{6}{5}

The solutions to the quadratic equation are:

x = \frac{1}{3}, x = - \frac{6}{5}

x, x^{2} + 9 b^{2} = 0

4 x (2 x - 1) - x = 3

2 x^{2} + 4 x - 1

x, v + w = x^{2} yz

(x - 1) (x + 1) = 1

What are the solutions to the equation 15x^2-6=-13x ?
The solutions to the equation 15x^2-6=-13x are x= 1/3 ,x=-6/5
Find the zeros of 15x^2-6=-13x
The zeros of 15x^2-6=-13x are x= 1/3 ,x=-6/5