What are the solutions to the equation 5t^2-8t+3=2t ?

The solutions to the equation 5t^2-8t+3=2t are t=(5+sqrt(10))/5 ,t=(5-sqrt(10))/5

Find the zeros of 5t^2-8t+3=2t

The zeros of 5t^2-8t+3=2t are t=(5+sqrt(10))/5 ,t=(5-sqrt(10))/5

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5 t^{2} - 8 t + 3 = 2 t

t = \frac{5 + 10}{5}, t = \frac{5 - 10}{5}

Decimal Notation

t = 1.63245 \dots, t = 0.36754 \dots

Solution steps

5 t^{2} - 8 t + 3 = 2 t

Move

2 t

to the left side

5 t^{2} - 10 t + 3 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 \cdot 3}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 \cdot 3 = 210

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

t = \frac{5 + 10}{5}, t = \frac{5 - 10}{5}

- x^{2} - 6 x - 11 = 0

64 = \frac{v ^{2}}{5} + 19

3 x^{2} + 144 = 42 x

x^{2} - 324 = 0

2 x^{2} - 8 = 90

What are the solutions to the equation 5t^2-8t+3=2t ?
The solutions to the equation 5t^2-8t+3=2t are t=(5+sqrt(10))/5 ,t=(5-sqrt(10))/5
Find the zeros of 5t^2-8t+3=2t
The zeros of 5t^2-8t+3=2t are t=(5+sqrt(10))/5 ,t=(5-sqrt(10))/5