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

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

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

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

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

x = 25 - 755, x = 25 + 755

Decimal Notation

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

Solution steps

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

Multiply both sides by

100

- 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^{2} - 29 x + 208 = 0

x^{2} - 2 x (x - 2) + 5 = 0

x, f (x + 1) = 3 x^{2} + 2 x - 4

6 x^{2} = 9 x + 5

(2 x + 3) (x - 3) = 0

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