What are the solutions to the equation -x^2+30x-2=0 ?

The solutions to the equation -x^2+30x-2=0 are x=15-sqrt(223),x=15+sqrt(223)

Find the zeros of -x^2+30x-2=0

The zeros of -x^2+30x-2=0 are x=15-sqrt(223),x=15+sqrt(223)

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- x^{2} + 30 x - 2 = 0

x = 15 - 223, x = 15 + 223

Decimal Notation

x = 0.06681 \dots, x = 29.93318 \dots

Solution steps

- x^{2} + 30 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 ( - 1 ) ( - 2 )}{2 ( - 1 )}

3 0^{2} - 4 (- 1) (- 2) = 2223

x_{1, 2} = \frac{- 30 \pm 2 223}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 30 + 2 223}{2 ( - 1 )}, x_{2} = \frac{- 30 - 2 223}{2 ( - 1 )}

x = \frac{- 30 + 2 223}{2 ( - 1 )} : 15 - 223

x = \frac{- 30 - 2 223}{2 ( - 1 )} : 15 + 223

The solutions to the quadratic equation are:

x = 15 - 223, x = 15 + 223

(4 - 3 x)^{2} = 64

x^{2} + 12 x + c = 0

12 = 3 x^{2} - 18 x

(- \frac{13}{3} x)^{2} + (- \frac{2}{3} x)^{2} + x^{2} = 1

2 x^{2} + 6 x - 196 = 0

What are the solutions to the equation -x^2+30x-2=0 ?
The solutions to the equation -x^2+30x-2=0 are x=15-sqrt(223),x=15+sqrt(223)
Find the zeros of -x^2+30x-2=0
The zeros of -x^2+30x-2=0 are x=15-sqrt(223),x=15+sqrt(223)