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

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

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

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

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5 x^{2} + 13 x = 6

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

Decimal Notation

x = 0.4, x = - 3

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 1 3 ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

1 3^{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} : \frac{2}{5}

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

The solutions to the quadratic equation are:

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

- 3 h + 2 \geq 8

144 x^{2} - 81 = 0

\frac{1}{7} - 2

\frac{25 x ^{2} - 49}{x ^{2} - 36} \leq 0

24 \cdot 8

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