What are the solutions to the equation 5x^2-16x-22=3x^2-17 ?

The solutions to the equation 5x^2-16x-22=3x^2-17 are x=(8+sqrt(74))/2 ,x=(8-sqrt(74))/2

Find the zeros of 5x^2-16x-22=3x^2-17

The zeros of 5x^2-16x-22=3x^2-17 are x=(8+sqrt(74))/2 ,x=(8-sqrt(74))/2

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5 x^{2} - 16 x - 22 = 3 x^{2} - 17

x = \frac{8 + 74}{2}, x = \frac{8 - 74}{2}

Decimal Notation

x = 8.30116 \dots, x = - 0.30116 \dots

Solution steps

5 x^{2} - 16 x - 22 = 3 x^{2} - 17

Move

17

to the left side

5 x^{2} - 16 x - 5 = 3 x^{2}

Move

3 x^{2}

to the left side

2 x^{2} - 16 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 2 ( - 5 )}{2 \cdot 2}

(- 16)^{2} - 4 \cdot 2 (- 5) = 274

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

Separate the solutions

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

x = \frac{- ( - 16 ) + 2 74}{2 \cdot 2} : \frac{8 + 74}{2}

x = \frac{- ( - 16 ) - 2 74}{2 \cdot 2} : \frac{8 - 74}{2}

The solutions to the quadratic equation are:

x = \frac{8 + 74}{2}, x = \frac{8 - 74}{2}

- 3 x^{2} - 6 x + 2 = 0

(- t)^{2} - 4 \cdot 3 \cdot (- 2) = 1

x, 3 x^{2} + 2 y^{2} + e^{5 y} = 13

x^{2} + 105 x - 2500 = 0

x^{2} = 15 + 2 x

What are the solutions to the equation 5x^2-16x-22=3x^2-17 ?
The solutions to the equation 5x^2-16x-22=3x^2-17 are x=(8+sqrt(74))/2 ,x=(8-sqrt(74))/2
Find the zeros of 5x^2-16x-22=3x^2-17
The zeros of 5x^2-16x-22=3x^2-17 are x=(8+sqrt(74))/2 ,x=(8-sqrt(74))/2