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

The solutions to the equation 5x^2-30x=5 are x=3+sqrt(10),x=3-sqrt(10)

Find the zeros of 5x^2-30x=5

The zeros of 5x^2-30x=5 are x=3+sqrt(10),x=3-sqrt(10)

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5 x^{2} - 30 x = 5

x = 3 + 10, x = 3 - 10

Decimal Notation

x = 6.16227 \dots, x = - 0.16227 \dots

Solution steps

5 x^{2} - 30 x = 5

Move

5

to the left side

5 x^{2} - 30 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 5 ( - 5 )}{2 \cdot 5}

(- 30)^{2} - 4 \cdot 5 (- 5) = 1010

x_{1, 2} = \frac{- ( - 30 ) \pm 10 10}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 10 10}{2 \cdot 5}, x_{2} = \frac{- ( - 30 ) - 10 10}{2 \cdot 5}

x = \frac{- ( - 30 ) + 10 10}{2 \cdot 5} : 3 + 10

x = \frac{- ( - 30 ) - 10 10}{2 \cdot 5} : 3 - 10

The solutions to the quadratic equation are:

x = 3 + 10, x = 3 - 10

(x + 2) (x^{2} - 12 x + 35)

100 x - x^{3} \geq 0

- ∣ 1 + x ∣ + ∣ 1 - x ∣ = 2

9 - x \geq 10

4 ∣ x - 1 ∣ + 2 = 10

What are the solutions to the equation 5x^2-30x=5 ?
The solutions to the equation 5x^2-30x=5 are x=3+sqrt(10),x=3-sqrt(10)
Find the zeros of 5x^2-30x=5
The zeros of 5x^2-30x=5 are x=3+sqrt(10),x=3-sqrt(10)