What are the solutions to the equation 1.5t^2-6t+3=0 ?

The solutions to the equation 1.5t^2-6t+3=0 are t=2+sqrt(2),t=2-sqrt(2)

Find the zeros of 1.5t^2-6t+3=0

The zeros of 1.5t^2-6t+3=0 are t=2+sqrt(2),t=2-sqrt(2)

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1.5 t^{2} - 6 t + 3 = 0

t = 2 + 2, t = 2 - 2

Solution steps

1.5 t^{2} - 6 t + 3 = 0

Multiply both sides by

10

15 t^{2} - 60 t + 30 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 15 \cdot 30}{2 \cdot 15}

(- 60)^{2} - 4 \cdot 15 \cdot 30 = 302

t_{1, 2} = \frac{- ( - 60 ) \pm 30 2}{2 \cdot 15}

Separate the solutions

t_{1} = \frac{- ( - 60 ) + 30 2}{2 \cdot 15}, t_{2} = \frac{- ( - 60 ) - 30 2}{2 \cdot 15}

t = \frac{- ( - 60 ) + 30 2}{2 \cdot 15} : 2 + 2

t = \frac{- ( - 60 ) - 30 2}{2 \cdot 15} : 2 - 2

The solutions to the quadratic equation are:

t = 2 + 2, t = 2 - 2

t^{2} - t - 6 = 4 (t - 3)

6 x^{2} - 9 x - 15 = 0

2 x (3 x - 5) = x

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

x (x^{2} + 2 x + 3) = x^{3} - 1

What are the solutions to the equation 1.5t^2-6t+3=0 ?
The solutions to the equation 1.5t^2-6t+3=0 are t=2+sqrt(2),t=2-sqrt(2)
Find the zeros of 1.5t^2-6t+3=0
The zeros of 1.5t^2-6t+3=0 are t=2+sqrt(2),t=2-sqrt(2)