What are the solutions to the equation -7/2 x^2+12x+25=0 ?

The solutions to the equation -7/2 x^2+12x+25=0 are x=-(-12+sqrt(494))/7 ,x=(12+sqrt(494))/7

Find the zeros of -7/2 x^2+12x+25=0

The zeros of -7/2 x^2+12x+25=0 are x=-(-12+sqrt(494))/7 ,x=(12+sqrt(494))/7

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- \frac{7}{2} x^{2} + 12 x + 25 = 0

x = - \frac{- 12 + 494}{7}, x = \frac{12 + 494}{7}

Decimal Notation

x = - 1.46087 \dots, x = 4.88944 \dots

Solution steps

- \frac{7}{2} x^{2} + 12 x + 25 = 0

Multiply both sides by

2

- 7 x^{2} + 24 x + 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 ( - 7 ) \cdot 50}{2 ( - 7 )}

2 4^{2} - 4 (- 7) \cdot 50 = 2494

x_{1, 2} = \frac{- 24 \pm 2 494}{2 ( - 7 )}

Separate the solutions

x_{1} = \frac{- 24 + 2 494}{2 ( - 7 )}, x_{2} = \frac{- 24 - 2 494}{2 ( - 7 )}

x = \frac{- 24 + 2 494}{2 ( - 7 )} : - \frac{- 12 + 494}{7}

x = \frac{- 24 - 2 494}{2 ( - 7 )} : \frac{12 + 494}{7}

The solutions to the quadratic equation are:

x = - \frac{- 12 + 494}{7}, x = \frac{12 + 494}{7}

- 2 x + 140 = x - 3 + 100 + 5 x

\frac{z ^{2}}{6} - \frac{3 z}{2} - 6 = 0

6 y^{2} - 3 y = 0

3 x - 4 = 14

3 a^{2} - 14 a + 8

What are the solutions to the equation -7/2 x^2+12x+25=0 ?
The solutions to the equation -7/2 x^2+12x+25=0 are x=-(-12+sqrt(494))/7 ,x=(12+sqrt(494))/7
Find the zeros of -7/2 x^2+12x+25=0
The zeros of -7/2 x^2+12x+25=0 are x=-(-12+sqrt(494))/7 ,x=(12+sqrt(494))/7