What are the solutions to the equation t^4-3t^3-40t^2=0 ?

The solutions to the equation t^4-3t^3-40t^2=0 are t=0,t=-5,t=8

Find the zeros of t^4-3t^3-40t^2=0

The zeros of t^4-3t^3-40t^2=0 are t=0,t=-5,t=8

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t^{4} - 3 t^{3} - 40 t^{2} = 0

t = 0, t = - 5, t = 8

Solution steps

t^{4} - 3 t^{3} - 40 t^{2} = 0

Factor

t^{4} - 3 t^{3} - 40 t^{2} : t^{2} (t + 5) (t - 8)

t^{2} (t + 5) (t - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t + 5 = 0 or t - 8 = 0

Solve

t + 5 = 0 : t = - 5

Solve

t - 8 = 0 : t = 8

The solutions are

t = 0, t = - 5, t = 8

y, 2 x^{3} - 3 y^{2} = 8

x^{8} - 2 x^{4} + 4 = 0

67500 x^{3} + 48780000 x = 0

x^{3} - 3 x^{2} - 13 x + 15 = 0

(x - 1.5)^{4} - 1 0^{- 8}

What are the solutions to the equation t^4-3t^3-40t^2=0 ?
The solutions to the equation t^4-3t^3-40t^2=0 are t=0,t=-5,t=8
Find the zeros of t^4-3t^3-40t^2=0
The zeros of t^4-3t^3-40t^2=0 are t=0,t=-5,t=8