What are the solutions to the equation g^2-10g+7=0 ?

The solutions to the equation g^2-10g+7=0 are g=5+3sqrt(2),g=5-3sqrt(2)

Find the zeros of g^2-10g+7=0

The zeros of g^2-10g+7=0 are g=5+3sqrt(2),g=5-3sqrt(2)

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

g = 5 + 32, g = 5 - 32

Decimal Notation

g = 9.24264 \dots, g = 0.75735 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 10)^{2} - 4 \cdot 1 \cdot 7 = 62

g_{1, 2} = \frac{- ( - 10 ) \pm 6 2}{2 \cdot 1}

Separate the solutions

g_{1} = \frac{- ( - 10 ) + 6 2}{2 \cdot 1}, g_{2} = \frac{- ( - 10 ) - 6 2}{2 \cdot 1}

g = \frac{- ( - 10 ) + 6 2}{2 \cdot 1} : 5 + 32

g = \frac{- ( - 10 ) - 6 2}{2 \cdot 1} : 5 - 32

The solutions to the quadratic equation are:

g = 5 + 32, g = 5 - 32

3 x (x + 1) = (3 x + 2) (2 x + 4)

4 x^{2} - 10 x - 2 = 0

(x + 8) (x + 4) = 5^{1}

6 (x + 1) = (4 - x) (7 + x)

0 = 12 x^{2} - 180 x + 464

What are the solutions to the equation g^2-10g+7=0 ?
The solutions to the equation g^2-10g+7=0 are g=5+3sqrt(2),g=5-3sqrt(2)
Find the zeros of g^2-10g+7=0
The zeros of g^2-10g+7=0 are g=5+3sqrt(2),g=5-3sqrt(2)