Mathematics, 15.07.2019 16:00 DJEMPGYT
Can anyone me with my algebra 2 semester 2 e2020 class? specifically, the pretests for adding and subtracting radicals, multiplying radicals, dividing radicals, and radical equations and extraneous roots?
Answers: 1
![\bf (8x-8)^{\frac{3}{2}}=64~~ \begin{cases} 64=2\cdot 2\cdot 2\\ \qquad 2^3 \end{cases}\implies (8x-8)^{\frac{3}{2}}=2^3 \\\\\\ \textit{then we raise both sides by }\frac{2}{3}\implies \left[ (8x-8)^{\frac{3}{2}} \right]^{\frac{2}{3}}=(2^3)^{\frac{2}{3}} \\\\\\ (8x-8)^1=2^2\implies 8x-8=4\implies 8x=12 \\\\\\ x=\cfrac{12}{8}\implies x=\cfrac{3}{2}](/tpl/images/0093/0366/e31a8.png)
![\bf (45-3x)^{\frac{1}{2}}=x-9\impliedby \textit{we'll raise both by }^2 \\\\\\ \left[ (45-3x)^{\frac{1}{2}} \right]^2=(x-9)^2\implies (45-3x)^1=x^2-18x+81 \\\\\\ 45-3x=x^2-18x+81\implies 0=x^2-15x+36 \\\\\\ 0=(x-12)(x-3)\implies x= \begin{cases} 12\\ 3 \end{cases}](/tpl/images/0093/0366/02f6e.png)
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