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

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

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

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

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x, 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

(2 x - 7)^{2} + 3 = 52

3 x^{2} - 5 x = 2 x + 6

5 x^{2} - 8 x + 10 = 0

4 - 6 x^{2} = 10

7^{2} + c^{2} = 2 5^{2}

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