What are the solutions to the equation q^3-q=34+32q ?

The solutions to the equation q^3-q=34+32q are q\approx-1.06712…,q\approx-5.13617…,q\approx 6.20330…

Find the zeros of q^3-q=34+32q

The zeros of q^3-q=34+32q are q\approx-1.06712…,q\approx-5.13617…,q\approx 6.20330…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

q^{3} - q = 34 + 32 q

q \approx - 1.06712 \dots, q \approx - 5.13617 \dots, q \approx 6.20330 \dots

Solution steps

q^{3} - q = 34 + 32 q

Move

32 q

to the left side

q^{3} - 33 q = 34

Move

34

to the left side

q^{3} - 33 q - 34 = 0

Find one solution for

q^{3} - 33 q - 34 = 0

using Newton-Raphson:

q \approx - 1.06712 \dots

Apply long division:

\frac{q ^{3} - 33 q - 34}{q + 1.06712 \dots} = q^{2} - 1.06712 \dots q - 31.86123 \dots

q^{2} - 1.06712 \dots q - 31.86123 \dots \approx 0

Find one solution for

q^{2} - 1.06712 \dots q - 31.86123 \dots = 0

using Newton-Raphson:

q \approx - 5.13617 \dots

Apply long division:

\frac{q ^{2} - 1.06712 \dots q - 31.86123 \dots}{q + 5.13617 \dots} = q - 6.20330 \dots

q - 6.20330 \dots \approx 0

q \approx 6.20330 \dots

The solutions are

q \approx - 1.06712 \dots, q \approx - 5.13617 \dots, q \approx 6.20330 \dots

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

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

a, 2 f = 5 a^{5}

(x + 1) (x + 2) (x + 3) (x + 6) = - x^{2}

2 = (1 + x)^{4}

What are the solutions to the equation q^3-q=34+32q ?
The solutions to the equation q^3-q=34+32q are q\approx-1.06712…,q\approx-5.13617…,q\approx 6.20330…
Find the zeros of q^3-q=34+32q
The zeros of q^3-q=34+32q are q\approx-1.06712…,q\approx-5.13617…,q\approx 6.20330…