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

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

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

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

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5 x^{2} - 13 x = 6

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

Solution steps

5 x^{2} - 13 x = 6

Move

6

to the left side

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

Solve with the quadratic formula

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

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

x_{1, 2} = \frac{- ( - 13 ) \pm 17}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 17}{2 \cdot 5}, x_{2} = \frac{- ( - 13 ) - 17}{2 \cdot 5}

x = \frac{- ( - 13 ) + 17}{2 \cdot 5} : 3

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

The solutions to the quadratic equation are:

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

7 (x + 1) + 2 \geq 6 x + 13

∣ 6 x - 5 ∣ + 5 = 7

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

- \frac{1}{4} (12 x + 8) \leq - 2 x + 11

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