What are the solutions to the equation 0=-0.02x^2+x+2.6 ?

The solutions to the equation 0=-0.02x^2+x+2.6 are x=25-sqrt(755),x=25+sqrt(755)

Find the zeros of 0=-0.02x^2+x+2.6

The zeros of 0=-0.02x^2+x+2.6 are x=25-sqrt(755),x=25+sqrt(755)

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0 = - 0.02 x^{2} + x + 2.6

x = 25 - 755, x = 25 + 755

Decimal Notation

x = - 2.47726 \dots, x = 52.47726 \dots

Solution steps

0 = - 0.02 x^{2} + x + 2.6

Multiply both sides by

100

0 = - 2 x^{2} + 100 x + 260

Switch sides

- 2 x^{2} + 100 x + 260 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 ( - 2 ) \cdot 260}{2 ( - 2 )}

10 0^{2} - 4 (- 2) \cdot 260 = 4755

x_{1, 2} = \frac{- 100 \pm 4 755}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 100 + 4 755}{2 ( - 2 )}, x_{2} = \frac{- 100 - 4 755}{2 ( - 2 )}

x = \frac{- 100 + 4 755}{2 ( - 2 )} : 25 - 755

x = \frac{- 100 - 4 755}{2 ( - 2 )} : 25 + 755

The solutions to the quadratic equation are:

x = 25 - 755, x = 25 + 755

(x - 6) (x - 1) = 4 x - 18

k^{2} - 3 k - 4 = 0

(x + 3)^{2} = 3 - x

x^{2} + 14 x + 64 = 0

r^{2} - 32 = 0

What are the solutions to the equation 0=-0.02x^2+x+2.6 ?
The solutions to the equation 0=-0.02x^2+x+2.6 are x=25-sqrt(755),x=25+sqrt(755)
Find the zeros of 0=-0.02x^2+x+2.6
The zeros of 0=-0.02x^2+x+2.6 are x=25-sqrt(755),x=25+sqrt(755)