Solve the equations and inequalities below, if possible. Check your solutions. a.(4x−2)^{2}≤100 b.(x−1)^{2}=9 c. x^{2}+x−20<0 d.2x^{2}−6x=−5

Solve the equations and inequalities below, if possible. Check your solutions. a.(4x−2)^{2}≤100 b.(x−1)^{2}=9 c. x^{2}+x−20<0 d.2x^{2}−6x=−5

Question
Equations and inequalities
asked 2021-02-03
Solve the equations and inequalities below, if possible. Check your solutions. \(\displaystyle{a}.{\left({4}{x}−{2}\right)}^{{{2}}}≤{100}\)
\(\displaystyle{b}.{\left({x}−{1}\right)}^{{{2}}}={9}\)
\(\displaystyle{c}.{x}^{{{2}}}+{x}−{20}{<}{0}\)</span>
\(\displaystyle{d}{.2}{x}^{{{2}}}−{6}{x}=−{5}\)

Answers (1)

2021-02-04
\(\displaystyle{a}.-{2}\leq{\left\lbrace{x}\right\rbrace}\leq{\left\lbrace{3}\right\rbrace}\)
\(\displaystyle{b}.{x}={4}{\quad\text{and}\quad}{x}=-{2}\)
\(\displaystyle{c}.-{5}{<}{x}{<}{4}\)</span>
\(\displaystyle{d}.{x}={1.5}\pm{0},{5}{i}\)
0

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