What are the solutions to the equation 2x^2+5x=50 ?

The solutions to the equation 2x^2+5x=50 are x=(-5+5sqrt(17))/4 ,x=(-5-5sqrt(17))/4

Find the zeros of 2x^2+5x=50

The zeros of 2x^2+5x=50 are x=(-5+5sqrt(17))/4 ,x=(-5-5sqrt(17))/4

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2 x^{2} + 5 x = 50

x = \frac{- 5 + 5 17}{4}, x = \frac{- 5 - 5 17}{4}

Decimal Notation

x = 3.90388 \dots, x = - 6.40388 \dots

Solution steps

2 x^{2} + 5 x = 50

Move

50

to the left side

2 x^{2} + 5 x - 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 2 ( - 50 )}{2 \cdot 2}

5^{2} - 4 \cdot 2 (- 50) = 517

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

Separate the solutions

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

x = \frac{- 5 + 5 17}{2 \cdot 2} : \frac{- 5 + 5 17}{4}

x = \frac{- 5 - 5 17}{2 \cdot 2} : \frac{- 5 - 5 17}{4}

The solutions to the quadratic equation are:

x = \frac{- 5 + 5 17}{4}, x = \frac{- 5 - 5 17}{4}

∣ 8 - 4 x ∣ \leq 1

\frac{3 ^{5}}{3 ^{5}}

24 x y - 192 x - 42 y^{(2)} + 336 y

- (1 + 7 x) - 6 (- 7 - x) = 36

\frac{21 a + 14}{49 a}

What are the solutions to the equation 2x^2+5x=50 ?
The solutions to the equation 2x^2+5x=50 are x=(-5+5sqrt(17))/4 ,x=(-5-5sqrt(17))/4
Find the zeros of 2x^2+5x=50
The zeros of 2x^2+5x=50 are x=(-5+5sqrt(17))/4 ,x=(-5-5sqrt(17))/4