What are the solutions to the equation 3/2 t^2-45t-45=0 ?

The solutions to the equation 3/2 t^2-45t-45=0 are t=15+sqrt(255),t=15-sqrt(255)

Find the zeros of 3/2 t^2-45t-45=0

The zeros of 3/2 t^2-45t-45=0 are t=15+sqrt(255),t=15-sqrt(255)

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\frac{3}{2} t^{2} - 45 t - 45 = 0

t = 15 + 255, t = 15 - 255

Decimal Notation

t = 30.96871 \dots, t = - 0.96871 \dots

Solution steps

\frac{3}{2} t^{2} - 45 t - 45 = 0

Multiply both sides by

2

3 t^{2} - 90 t - 90 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 90 ) \pm ( - 90 ) ^{2} - 4 \cdot 3 ( - 90 )}{2 \cdot 3}

(- 90)^{2} - 4 \cdot 3 (- 90) = 6255

t_{1, 2} = \frac{- ( - 90 ) \pm 6 255}{2 \cdot 3}

Separate the solutions

t_{1} = \frac{- ( - 90 ) + 6 255}{2 \cdot 3}, t_{2} = \frac{- ( - 90 ) - 6 255}{2 \cdot 3}

t = \frac{- ( - 90 ) + 6 255}{2 \cdot 3} : 15 + 255

t = \frac{- ( - 90 ) - 6 255}{2 \cdot 3} : 15 - 255

The solutions to the quadratic equation are:

t = 15 + 255, t = 15 - 255

12 x - 8

11 x + 41 < 250

x^{2} - 5 x + 630 = 0

∣ 2 x - 5 ∣ \geq 2

2 (8)^{\frac{2}{3}}

What are the solutions to the equation 3/2 t^2-45t-45=0 ?
The solutions to the equation 3/2 t^2-45t-45=0 are t=15+sqrt(255),t=15-sqrt(255)
Find the zeros of 3/2 t^2-45t-45=0
The zeros of 3/2 t^2-45t-45=0 are t=15+sqrt(255),t=15-sqrt(255)