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

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

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

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

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5 x^{2} = 13 x - 6

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

Decimal Notation

x = 2, x = 0.6

Solution steps

5 x^{2} = 13 x - 6

Move

6

to the left side

5 x^{2} + 6 = 13 x

Move

13 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

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

(- 13)^{2} - 4 \cdot 5 \cdot 6 = 7

x_{1, 2} = \frac{- ( - 13 ) \pm 7}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 7}{2 \cdot 5}, x_{2} = \frac{- ( - 13 ) - 7}{2 \cdot 5}

x = \frac{- ( - 13 ) + 7}{2 \cdot 5} : 2

x = \frac{- ( - 13 ) - 7}{2 \cdot 5} : \frac{3}{5}

The solutions to the quadratic equation are:

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

x, a x^{2} + b x + c = y

2 k^{2} + 5 k = 12

- 5 x^{2} + 9 x = - 3

(2 x - 1)^{2} - (x + 1)^{2} = 0

2 x^{2} - \frac{7}{6} x + \frac{1}{3} = 0

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