What are the solutions to the equation 4x^2+8x+27=88 ?

The solutions to the equation 4x^2+8x+27=88 are x=(-2+sqrt(65))/2 ,x=-(2+sqrt(65))/2

Find the zeros of 4x^2+8x+27=88

The zeros of 4x^2+8x+27=88 are x=(-2+sqrt(65))/2 ,x=-(2+sqrt(65))/2

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4 x^{2} + 8 x + 27 = 88

x = \frac{- 2 + 65}{2}, x = - \frac{2 + 65}{2}

Decimal Notation

x = 3.03112 \dots, x = - 5.03112 \dots

Solution steps

4 x^{2} + 8 x + 27 = 88

Move

88

to the left side

4 x^{2} + 8 x - 61 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 4 ( - 61 )}{2 \cdot 4}

8^{2} - 4 \cdot 4 (- 61) = 465

x_{1, 2} = \frac{- 8 \pm 4 65}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 8 + 4 65}{2 \cdot 4}, x_{2} = \frac{- 8 - 4 65}{2 \cdot 4}

x = \frac{- 8 + 4 65}{2 \cdot 4} : \frac{- 2 + 65}{2}

x = \frac{- 8 - 4 65}{2 \cdot 4} : - \frac{2 + 65}{2}

The solutions to the quadratic equation are:

x = \frac{- 2 + 65}{2}, x = - \frac{2 + 65}{2}

v + \frac{1}{8} > 10

5 x^{2} - 24 x - 5

5 x - 2 < 3 x + 8

2 (2 y - 7) = 18

3 x^{2} - 5 x = 3

What are the solutions to the equation 4x^2+8x+27=88 ?
The solutions to the equation 4x^2+8x+27=88 are x=(-2+sqrt(65))/2 ,x=-(2+sqrt(65))/2
Find the zeros of 4x^2+8x+27=88
The zeros of 4x^2+8x+27=88 are x=(-2+sqrt(65))/2 ,x=-(2+sqrt(65))/2