What are the solutions to the equation -5/4 x^2+30x-100=0 ?

The solutions to the equation -5/4 x^2+30x-100=0 are x=4,x=20

Find the zeros of -5/4 x^2+30x-100=0

The zeros of -5/4 x^2+30x-100=0 are x=4,x=20

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- \frac{5}{4} x^{2} + 30 x - 100 = 0

x = 4, x = 20

Solution steps

- \frac{5}{4} x^{2} + 30 x - 100 = 0

Multiply both sides by

4

- 5 x^{2} + 120 x - 400 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 120 \pm 12 0 ^{2} - 4 ( - 5 ) ( - 400 )}{2 ( - 5 )}

12 0^{2} - 4 (- 5) (- 400) = 80

x_{1, 2} = \frac{- 120 \pm 80}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- 120 + 80}{2 ( - 5 )}, x_{2} = \frac{- 120 - 80}{2 ( - 5 )}

x = \frac{- 120 + 80}{2 ( - 5 )} : 4

x = \frac{- 120 - 80}{2 ( - 5 )} : 20

The solutions to the quadratic equation are:

x = 4, x = 20

35 - 4 x > 2

7 - x^{2} = 2 + \frac{x}{2}

x^{3} + 7 x^{2} + 15 x + 9

- 6 x^{2} + 24 x = 0

28 k^{2} - 20 k - 72

What are the solutions to the equation -5/4 x^2+30x-100=0 ?
The solutions to the equation -5/4 x^2+30x-100=0 are x=4,x=20
Find the zeros of -5/4 x^2+30x-100=0
The zeros of -5/4 x^2+30x-100=0 are x=4,x=20