What are the solutions to the equation -0.04X^2+0.64X+15=0 ?

The solutions to the equation -0.04X^2+0.64X+15=0 are X=8-sqrt(439),X=8+sqrt(439)

Find the zeros of -0.04X^2+0.64X+15=0

The zeros of -0.04X^2+0.64X+15=0 are X=8-sqrt(439),X=8+sqrt(439)

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- 0.04 X^{2} + 0.64 X + 15 = 0

X = 8 - 439, X = 8 + 439

Decimal Notation

X = - 12.95232 \dots, X = 28.95232 \dots

Solution steps

- 0.04 X^{2} + 0.64 X + 15 = 0

Multiply both sides by

100

- 4 X^{2} + 64 X + 1500 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- 64 \pm 6 4 ^{2} - 4 ( - 4 ) \cdot 1500}{2 ( - 4 )}

6 4^{2} - 4 (- 4) \cdot 1500 = 8439

X_{1, 2} = \frac{- 64 \pm 8 439}{2 ( - 4 )}

Separate the solutions

X_{1} = \frac{- 64 + 8 439}{2 ( - 4 )}, X_{2} = \frac{- 64 - 8 439}{2 ( - 4 )}

X = \frac{- 64 + 8 439}{2 ( - 4 )} : 8 - 439

X = \frac{- 64 - 8 439}{2 ( - 4 )} : 8 + 439

The solutions to the quadratic equation are:

X = 8 - 439, X = 8 + 439

\frac{6 x ^{2} y ^{3}}{( - 4 x ^{4} y ) ( - 3 x ^{3} y ^{2} )}

2 d^{2} - 2 d - 60

4 x^{3} - 12 x^{2} - x + 3

\frac{1}{3} - \frac{3}{4}

44 t - 16 t^{2}

What are the solutions to the equation -0.04X^2+0.64X+15=0 ?
The solutions to the equation -0.04X^2+0.64X+15=0 are X=8-sqrt(439),X=8+sqrt(439)
Find the zeros of -0.04X^2+0.64X+15=0
The zeros of -0.04X^2+0.64X+15=0 are X=8-sqrt(439),X=8+sqrt(439)