What are the solutions to the equation solvefor h,5h(h^2+12)=68 ?

The solutions to the equation solvefor h,5h(h^2+12)=68 are h\approx 1.03968…

Find the zeros of solvefor h,5h(h^2+12)=68

The zeros of solvefor h,5h(h^2+12)=68 are h\approx 1.03968…

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solve for

h, 5 h (h^{2} + 12) = 68

h \approx 1.03968 \dots

Solution steps

5 h (h^{2} + 12) = 68

Expand

5 h (h^{2} + 12) : 5 h^{3} + 60 h

5 h^{3} + 60 h = 68

Move

68

to the left side

5 h^{3} + 60 h - 68 = 0

Find one solution for

5 h^{3} + 60 h - 68 = 0

using Newton-Raphson:

h \approx 1.03968 \dots

Apply long division:

\frac{5 h ^{3} + 60 h - 68}{h - 1.03968 \dots} = 5 h^{2} + 5.19840 \dots h + 65.40468 \dots

5 h^{2} + 5.19840 \dots h + 65.40468 \dots \approx 0

Find one solution for

5 h^{2} + 5.19840 \dots h + 65.40468 \dots = 0

using Newton-Raphson:

No Solution for

h \in R

The solution is

h \approx 1.03968 \dots

- 3 x^{5} + 5 x^{3} = 0

524442 = 411536 (1 + x)^{14}

n^{3} = \frac{27}{343}

45 x^{4} + 30 x^{3} + 5 x^{2} = 0

10 a^{3} = 640

What are the solutions to the equation solvefor h,5h(h^2+12)=68 ?
The solutions to the equation solvefor h,5h(h^2+12)=68 are h\approx 1.03968…
Find the zeros of solvefor h,5h(h^2+12)=68
The zeros of solvefor h,5h(h^2+12)=68 are h\approx 1.03968…