What are the solutions to the equation 4x^2+16x-53=5 ?

The solutions to the equation 4x^2+16x-53=5 are x=(-4+sqrt(74))/2 ,x=-(4+sqrt(74))/2

Find the zeros of 4x^2+16x-53=5

The zeros of 4x^2+16x-53=5 are x=(-4+sqrt(74))/2 ,x=-(4+sqrt(74))/2

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4 x^{2} + 16 x - 53 = 5

x = \frac{- 4 + 74}{2}, x = - \frac{4 + 74}{2}

Decimal Notation

x = 2.30116 \dots, x = - 6.30116 \dots

Solution steps

4 x^{2} + 16 x - 53 = 5

Move

5

to the left side

4 x^{2} + 16 x - 58 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 4 ( - 58 )}{2 \cdot 4}

1 6^{2} - 4 \cdot 4 (- 58) = 474

x_{1, 2} = \frac{- 16 \pm 4 74}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 16 + 4 74}{2 \cdot 4}, x_{2} = \frac{- 16 - 4 74}{2 \cdot 4}

x = \frac{- 16 + 4 74}{2 \cdot 4} : \frac{- 4 + 74}{2}

x = \frac{- 16 - 4 74}{2 \cdot 4} : - \frac{4 + 74}{2}

The solutions to the quadratic equation are:

x = \frac{- 4 + 74}{2}, x = - \frac{4 + 74}{2}

2^{2} + 1^{2} = c^{2}

9 y^{2} + 4 = 0

3 x^{2} = 2 x + 7

x^{2} + 12 + 11 x + 5 + 13 x - 17 = 180

x^{2} - 8 x + 30 = 0

What are the solutions to the equation 4x^2+16x-53=5 ?
The solutions to the equation 4x^2+16x-53=5 are x=(-4+sqrt(74))/2 ,x=-(4+sqrt(74))/2
Find the zeros of 4x^2+16x-53=5
The zeros of 4x^2+16x-53=5 are x=(-4+sqrt(74))/2 ,x=-(4+sqrt(74))/2