What are the solutions to the equation -7x+8-10x^2=7 ?

The solutions to the equation -7x+8-10x^2=7 are x=-(7+sqrt(89))/(20),x=(sqrt(89)-7)/(20)

Find the zeros of -7x+8-10x^2=7

The zeros of -7x+8-10x^2=7 are x=-(7+sqrt(89))/(20),x=(sqrt(89)-7)/(20)

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- 7 x + 8 - 10 x^{2} = 7

x = - \frac{7 + 89}{20}, x = \frac{89 - 7}{20}

Decimal Notation

x = - 0.82169 \dots, x = 0.12169 \dots

Solution steps

- 7 x + 8 - 10 x^{2} = 7

Move

7

to the left side

- 10 x^{2} - 7 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 ( - 10 ) \cdot 1}{2 ( - 10 )}

(- 7)^{2} - 4 (- 10) \cdot 1 = 89

x_{1, 2} = \frac{- ( - 7 ) \pm 89}{2 ( - 10 )}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 89}{2 ( - 10 )}, x_{2} = \frac{- ( - 7 ) - 89}{2 ( - 10 )}

x = \frac{- ( - 7 ) + 89}{2 ( - 10 )} : - \frac{7 + 89}{20}

x = \frac{- ( - 7 ) - 89}{2 ( - 10 )} : \frac{89 - 7}{20}

The solutions to the quadratic equation are:

x = - \frac{7 + 89}{20}, x = \frac{89 - 7}{20}

4 u^{2} + 28 u = 0

- 4 ∣ 3 x + 4 ∣ - 3 = - 15

(2 x + 5) (2 x - 3) \geq 3 x - 12

35 x^{2} + 25

10 = 8 h

What are the solutions to the equation -7x+8-10x^2=7 ?
The solutions to the equation -7x+8-10x^2=7 are x=-(7+sqrt(89))/(20),x=(sqrt(89)-7)/(20)
Find the zeros of -7x+8-10x^2=7
The zeros of -7x+8-10x^2=7 are x=-(7+sqrt(89))/(20),x=(sqrt(89)-7)/(20)