Find all real solutions to \(\displaystyle{8}{x}^{{3}}+{27}={0}\)

Janiyah Hays

Janiyah Hays

Answered question

2022-04-02

Find all real solutions to 8x3+27=0

Answer & Explanation

Adan Berry

Adan Berry

Beginner2022-04-03Added 12 answers

You are working too hard. Note that
8x3+27=0x3
=278x=2783
x=32
and so the only real solution is x=32
Boehm98wy

Boehm98wy

Beginner2022-04-04Added 18 answers

Using the discriminant of ax3+bx2+cx+d=8x3+27
Δ=18abcd4b3d+b2c24ac327a2d2
=00+0027(82)(272)<0
Thus there is only one real root, and that is x=32

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