What are the solutions to the equation 9t=2t^2 ?

The solutions to the equation 9t=2t^2 are t=0,t= 9/2

Find the zeros of 9t=2t^2

The zeros of 9t=2t^2 are t=0,t= 9/2

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9 t = 2 t^{2}

t = 0, t = \frac{9}{2}

Solution steps

9 t = 2 t^{2}

Move

2 t^{2}

to the left side

9 t - 2 t^{2} = 0

Factor

9 t - 2 t^{2} : - t (2 t - 9)

- t (2 t - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or 2 t - 9 = 0

Solve

2 t - 9 = 0 : t = \frac{9}{2}

The solutions to the quadratic equation are:

t = 0, t = \frac{9}{2}

x - 7 = 2

4.9 \geq h - 5

- \frac{x}{4} = \frac{2 x}{3}

(7 - 6 t) - (4 - 7 t) = - 3

∣ x + 3 ∣ \geq 5

What are the solutions to the equation 9t=2t^2 ?
The solutions to the equation 9t=2t^2 are t=0,t= 9/2
Find the zeros of 9t=2t^2
The zeros of 9t=2t^2 are t=0,t= 9/2