What are the solutions to the equation 6x^2-5=13x ?

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

Find the zeros of 6x^2-5=13x

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

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6 x^{2} - 5 = 13 x

x = \frac{5}{2}, x = - \frac{1}{3}

Decimal Notation

x = 2.5, x = - 0.33333 \dots

Solution steps

6 x^{2} - 5 = 13 x

Move

13 x

to the left side

6 x^{2} - 5 - 13 x = 0

Write in the standard form

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

6 x^{2} - 13 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 6 ( - 5 )}{2 \cdot 6}

(- 13)^{2} - 4 \cdot 6 (- 5) = 17

x_{1, 2} = \frac{- ( - 13 ) \pm 17}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 17}{2 \cdot 6}, x_{2} = \frac{- ( - 13 ) - 17}{2 \cdot 6}

x = \frac{- ( - 13 ) + 17}{2 \cdot 6} : \frac{5}{2}

x = \frac{- ( - 13 ) - 17}{2 \cdot 6} : - \frac{1}{3}

The solutions to the quadratic equation are:

x = \frac{5}{2}, x = - \frac{1}{3}

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

6 x^{2} - 5 x - 4 = 0

9 a^{2} + 3 a - 24 = - 4

w^{2} = - 99

9 = b^{2}

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