What are the solutions to the equation t^4+3t^3-10t^2=0 ?

The solutions to the equation t^4+3t^3-10t^2=0 are t=0,t=2,t=-5

Find the zeros of t^4+3t^3-10t^2=0

The zeros of t^4+3t^3-10t^2=0 are t=0,t=2,t=-5

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t^{4} + 3 t^{3} - 10 t^{2} = 0

t = 0, t = 2, t = - 5

Solution steps

t^{4} + 3 t^{3} - 10 t^{2} = 0

Factor

t^{4} + 3 t^{3} - 10 t^{2} : t^{2} (t - 2) (t + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t - 2 = 0 or t + 5 = 0

Solve

t - 2 = 0 : t = 2

Solve

t + 5 = 0 : t = - 5

The solutions are

t = 0, t = 2, t = - 5

2 x^{3} - 4 x^{2} - 10 x + 12 = 0

q^{(4)} - q^{(2)} - 6 = 0

x^{8} - 4 x^{6} + 4 x^{4} - 1 = 0

11 r + 15 = r^{2} r^{2}

x^{3} + 2 x^{2} - x - 1 = 0

What are the solutions to the equation t^4+3t^3-10t^2=0 ?
The solutions to the equation t^4+3t^3-10t^2=0 are t=0,t=2,t=-5
Find the zeros of t^4+3t^3-10t^2=0
The zeros of t^4+3t^3-10t^2=0 are t=0,t=2,t=-5