What are the solutions to the equation -5x^2-20x+35=30 ?

The solutions to the equation -5x^2-20x+35=30 are x=-2-sqrt(5),x=sqrt(5)-2

Find the zeros of -5x^2-20x+35=30

The zeros of -5x^2-20x+35=30 are x=-2-sqrt(5),x=sqrt(5)-2

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- 5 x^{2} - 20 x + 35 = 30

x = - 2 - 5, x = 5 - 2

Decimal Notation

x = - 4.23606 \dots, x = 0.23606 \dots

Solution steps

- 5 x^{2} - 20 x + 35 = 30

Move

30

to the left side

- 5 x^{2} - 20 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 ( - 5 ) \cdot 5}{2 ( - 5 )}

(- 20)^{2} - 4 (- 5) \cdot 5 = 105

x_{1, 2} = \frac{- ( - 20 ) \pm 10 5}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 10 5}{2 ( - 5 )}, x_{2} = \frac{- ( - 20 ) - 10 5}{2 ( - 5 )}

x = \frac{- ( - 20 ) + 10 5}{2 ( - 5 )} : - 2 - 5

x = \frac{- ( - 20 ) - 10 5}{2 ( - 5 )} : 5 - 2

The solutions to the quadratic equation are:

x = - 2 - 5, x = 5 - 2

2 \leq 3 x - 13 \leq 5

26 = - 12 y - 9 + 24

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

4 x - 32

2 x^{2} + 7 x - 4 = 0

What are the solutions to the equation -5x^2-20x+35=30 ?
The solutions to the equation -5x^2-20x+35=30 are x=-2-sqrt(5),x=sqrt(5)-2
Find the zeros of -5x^2-20x+35=30
The zeros of -5x^2-20x+35=30 are x=-2-sqrt(5),x=sqrt(5)-2