What are the solutions to the equation x^2+5x-6.25=43.75 ?

The solutions to the equation x^2+5x-6.25=43.75 are x=5,x=-10

Find the zeros of x^2+5x-6.25=43.75

The zeros of x^2+5x-6.25=43.75 are x=5,x=-10

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x^{2} + 5 x - 6.25 = 43.75

x = 5, x = - 10

Solution steps

x^{2} + 5 x - 6.25 = 43.75

Multiply both sides by

100

100 x^{2} + 500 x - 625 = 4375

Move

4375

to the left side

100 x^{2} + 500 x - 5000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 500 \pm 50 0 ^{2} - 4 \cdot 100 ( - 5000 )}{2 \cdot 100}

50 0^{2} - 4 \cdot 100 (- 5000) = 1500

x_{1, 2} = \frac{- 500 \pm 1500}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 500 + 1500}{2 \cdot 100}, x_{2} = \frac{- 500 - 1500}{2 \cdot 100}

x = \frac{- 500 + 1500}{2 \cdot 100} : 5

x = \frac{- 500 - 1500}{2 \cdot 100} : - 10

The solutions to the quadratic equation are:

x = 5, x = - 10

x^{2} + 83 = - 20 x

x^{2} - 0.016 x - 0.064 = 0

x, x y - x^{2} + 3 = 0

15 y^{2} - 4 y - 4 = 0

2 n^{2} - 19 n + 17 = 3 n^{2}

What are the solutions to the equation x^2+5x-6.25=43.75 ?
The solutions to the equation x^2+5x-6.25=43.75 are x=5,x=-10
Find the zeros of x^2+5x-6.25=43.75
The zeros of x^2+5x-6.25=43.75 are x=5,x=-10