What are the solutions to the equation 0.6x^2-3.6x-0.6=0 ?

The solutions to the equation 0.6x^2-3.6x-0.6=0 are x=3+sqrt(10),x=3-sqrt(10)

Find the zeros of 0.6x^2-3.6x-0.6=0

The zeros of 0.6x^2-3.6x-0.6=0 are x=3+sqrt(10),x=3-sqrt(10)

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0.6 x^{2} - 3.6 x - 0.6 = 0

x = 3 + 10, x = 3 - 10

Decimal Notation

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

Solution steps

0.6 x^{2} - 3.6 x - 0.6 = 0

Multiply both sides by

10

6 x^{2} - 36 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 6 ( - 6 )}{2 \cdot 6}

(- 36)^{2} - 4 \cdot 6 (- 6) = 1210

x_{1, 2} = \frac{- ( - 36 ) \pm 12 10}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 36 ) + 12 10}{2 \cdot 6}, x_{2} = \frac{- ( - 36 ) - 12 10}{2 \cdot 6}

x = \frac{- ( - 36 ) + 12 10}{2 \cdot 6} : 3 + 10

x = \frac{- ( - 36 ) - 12 10}{2 \cdot 6} : 3 - 10

The solutions to the quadratic equation are:

x = 3 + 10, x = 3 - 10

4 x^{2} - 1 = 3

(y + 1)^{2} - 9 = 0

x^{2} - 12 x - 26 = 0

x^{2} - 1 = lo g_{3} (27)

4 x^{2} + 18 x + 18 = 0

What are the solutions to the equation 0.6x^2-3.6x-0.6=0 ?
The solutions to the equation 0.6x^2-3.6x-0.6=0 are x=3+sqrt(10),x=3-sqrt(10)
Find the zeros of 0.6x^2-3.6x-0.6=0
The zeros of 0.6x^2-3.6x-0.6=0 are x=3+sqrt(10),x=3-sqrt(10)