What are the solutions to the equation (t^2)/(330)-t/5+24=0 ?

The solutions to the equation (t^2)/(330)-t/5+24=0 are t=33+3sqrt(759)i,t=33-3sqrt(759)i

Find the zeros of (t^2)/(330)-t/5+24=0

The zeros of (t^2)/(330)-t/5+24=0 are t=33+3sqrt(759)i,t=33-3sqrt(759)i

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\frac{t ^{2}}{330} - \frac{t}{5} + 24 = 0

t = 33 + 3759 i, t = 33 - 3759 i

Solution steps

\frac{t ^{2}}{330} - \frac{t}{5} + 24 = 0

Find Least Common Multiplier of

330, 5 : 330

Multiply by LCM=

330

\frac{t ^{2}}{330} \cdot 330 - \frac{t}{5} \cdot 330 + 24 \cdot 330 = 0 \cdot 330

Simplify

t^{2} - 66 t + 7920 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 66 ) \pm ( - 66 ) ^{2} - 4 \cdot 1 \cdot 7920}{2 \cdot 1}

Simplify

(- 66)^{2} - 4 \cdot 1 \cdot 7920 : 6759 i

t_{1, 2} = \frac{- ( - 66 ) \pm 6 759 i}{2 \cdot 1}

Separate the solutions

t_{1} = \frac{- ( - 66 ) + 6 759 i}{2 \cdot 1}, t_{2} = \frac{- ( - 66 ) - 6 759 i}{2 \cdot 1}

t = \frac{- ( - 66 ) + 6 759 i}{2 \cdot 1} : 33 + 3759 i

t = \frac{- ( - 66 ) - 6 759 i}{2 \cdot 1} : 33 - 3759 i

The solutions to the quadratic equation are:

t = 33 + 3759 i, t = 33 - 3759 i

y^{2} - y - 4 = 0

x^{2} + 12 x + 36 = 6

5 x^{2} - 4 = 16

8 x^{2} + 22 x + 12 = 0

- 3 x^{2} + 4 x + 59 = - 8 x - 4

What are the solutions to the equation (t^2)/(330)-t/5+24=0 ?
The solutions to the equation (t^2)/(330)-t/5+24=0 are t=33+3sqrt(759)i,t=33-3sqrt(759)i
Find the zeros of (t^2)/(330)-t/5+24=0
The zeros of (t^2)/(330)-t/5+24=0 are t=33+3sqrt(759)i,t=33-3sqrt(759)i