What are the solutions to the equation 4x^3-11x^2+2x+3=0 ?

The solutions to the equation 4x^3-11x^2+2x+3=0 are x= 3/4 ,x=1+sqrt(2),x=1-sqrt(2)

Find the zeros of 4x^3-11x^2+2x+3=0

The zeros of 4x^3-11x^2+2x+3=0 are x= 3/4 ,x=1+sqrt(2),x=1-sqrt(2)

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4 x^{3} - 11 x^{2} + 2 x + 3 = 0

x = \frac{3}{4}, x = 1 + 2, x = 1 - 2

Decimal Notation

x = 0.75, x = 2.41421 \dots, x = - 0.41421 \dots

Solution steps

4 x^{3} - 11 x^{2} + 2 x + 3 = 0

Factor

4 x^{3} - 11 x^{2} + 2 x + 3 : (4 x - 3) (x^{2} - 2 x - 1)

(4 x - 3) (x^{2} - 2 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

4 x - 3 = 0 or x^{2} - 2 x - 1 = 0

Solve

4 x - 3 = 0 : x = \frac{3}{4}

Solve

x^{2} - 2 x - 1 = 0 : x = 1 + 2, x = 1 - 2

The solutions are

x = \frac{3}{4}, x = 1 + 2, x = 1 - 2

I, 50 = π^{2} E I^{7}

z^{4} - 6 z^{2} + 25 = 0

x, 2 x^{6} - 9 x^{2} = 0

2 x^{5} - 3 x^{4} - 4 x + 6 = 0

x^{4} - 2 x^{2} + 2 x + 1 = 0

What are the solutions to the equation 4x^3-11x^2+2x+3=0 ?
The solutions to the equation 4x^3-11x^2+2x+3=0 are x= 3/4 ,x=1+sqrt(2),x=1-sqrt(2)
Find the zeros of 4x^3-11x^2+2x+3=0
The zeros of 4x^3-11x^2+2x+3=0 are x= 3/4 ,x=1+sqrt(2),x=1-sqrt(2)