What are the solutions to the equation -0.25x^2+6x+20=0 ?

The solutions to the equation -0.25x^2+6x+20=0 are x=-4(sqrt(14)-3),x=4(3+sqrt(14))

Find the zeros of -0.25x^2+6x+20=0

The zeros of -0.25x^2+6x+20=0 are x=-4(sqrt(14)-3),x=4(3+sqrt(14))

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- 0.25 x^{2} + 6 x + 20 = 0

x = - 4 (14 - 3), x = 4 (3 + 14)

Decimal Notation

x = - 2.96662 \dots, x = 26.96662 \dots

Solution steps

- 0.25 x^{2} + 6 x + 20 = 0

Multiply both sides by

100

- 25 x^{2} + 600 x + 2000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 600 \pm 60 0 ^{2} - 4 ( - 25 ) \cdot 2000}{2 ( - 25 )}

60 0^{2} - 4 (- 25) \cdot 2000 = 20014

x_{1, 2} = \frac{- 600 \pm 200 14}{2 ( - 25 )}

Separate the solutions

x_{1} = \frac{- 600 + 200 14}{2 ( - 25 )}, x_{2} = \frac{- 600 - 200 14}{2 ( - 25 )}

x = \frac{- 600 + 200 14}{2 ( - 25 )} : - 4 (14 - 3)

x = \frac{- 600 - 200 14}{2 ( - 25 )} : 4 (3 + 14)

The solutions to the quadratic equation are:

x = - 4 (14 - 3), x = 4 (3 + 14)

y, x^{2} y^{2} + 5 x y = 14

6 x^{2} + 24 x - 126 = 0

4 = 3 x^{2} - 14 x + 4

- 4 a^{2} - 37 = - 137

t^{2} + t = - 7

What are the solutions to the equation -0.25x^2+6x+20=0 ?
The solutions to the equation -0.25x^2+6x+20=0 are x=-4(sqrt(14)-3),x=4(3+sqrt(14))
Find the zeros of -0.25x^2+6x+20=0
The zeros of -0.25x^2+6x+20=0 are x=-4(sqrt(14)-3),x=4(3+sqrt(14))