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

The solutions to the equation t^2-10t+10=0 are t=5+sqrt(15),t=5-sqrt(15)

Find the zeros of t^2-10t+10=0

The zeros of t^2-10t+10=0 are t=5+sqrt(15),t=5-sqrt(15)

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t^{2} - 10 t + 10 = 0

t = 5 + 15, t = 5 - 15

Decimal Notation

t = 8.87298 \dots, t = 1.12701 \dots

Solution steps

t^{2} - 10 t + 10 = 0

Solve with the quadratic formula

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

(- 10)^{2} - 4 \cdot 1 \cdot 10 = 215

t_{1, 2} = \frac{- ( - 10 ) \pm 2 15}{2 \cdot 1}

Separate the solutions

t_{1} = \frac{- ( - 10 ) + 2 15}{2 \cdot 1}, t_{2} = \frac{- ( - 10 ) - 2 15}{2 \cdot 1}

t = \frac{- ( - 10 ) + 2 15}{2 \cdot 1} : 5 + 15

t = \frac{- ( - 10 ) - 2 15}{2 \cdot 1} : 5 - 15

The solutions to the quadratic equation are:

t = 5 + 15, t = 5 - 15

x, 4 x^{2} y^{2} + 2 x y - 12 = 0

(x + 4)^{2} - (2 x + 3) (x - 2) = 42

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

y, 4 x^{3} - 2 x = 2 y^{2} + 7

λ^{2} - 4 = 0

What are the solutions to the equation t^2-10t+10=0 ?
The solutions to the equation t^2-10t+10=0 are t=5+sqrt(15),t=5-sqrt(15)
Find the zeros of t^2-10t+10=0
The zeros of t^2-10t+10=0 are t=5+sqrt(15),t=5-sqrt(15)