What are the solutions to the equation 2x^2+x=15 ?

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

Find the zeros of 2x^2+x=15

The zeros of 2x^2+x=15 are x= 5/2 ,x=-3

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2 x^{2} + x = 15

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

Decimal Notation

x = 2.5, x = - 3

Solution steps

2 x^{2} + x = 15

Move

15

to the left side

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

Solve with the quadratic formula

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

1^{2} - 4 \cdot 2 (- 15) = 11

x_{1, 2} = \frac{- 1 \pm 11}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 1 + 11}{2 \cdot 2}, x_{2} = \frac{- 1 - 11}{2 \cdot 2}

x = \frac{- 1 + 11}{2 \cdot 2} : \frac{5}{2}

x = \frac{- 1 - 11}{2 \cdot 2} : - 3

The solutions to the quadratic equation are:

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

\frac{5}{3} r + \frac{4}{3} = - \frac{8}{9}

5 x^{2} + 3 x y - 2 y^{2}

- 2 x + 5 \geq 15

\frac{3}{x} \geq \frac{1}{2} + \frac{4}{x ^{2}}

3 x^{3} - 4 x^{2} + 11 x + 10

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