# Get help with algebra 2 equations and inequalities Recent questions in Equations
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ANSWERED ### Find the slope of the tangent to the curve $$\displaystyle{y}=\frac{{1}}{\sqrt{{{x}}}}$$ at the point where x = a

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ANSWERED ### Compute $$\displaystyle{4.659}\times{10}^{{4}}-{2.14}\times{10}^{{4}}$$. Round the answer appropriately. Express your answer as an integer using the proper number of significant figures

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ANSWERED ### How simplify $$\displaystyle{\left({\sin{{X}}}-{\cos{{X}}}\right)}^{{{2}}}$$?

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ANSWERED ### Solve the radical equation. $$\displaystyle\sqrt{{{x}+{16}}}-\sqrt{{{x}-{4}}}={2}$$

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ANSWERED ### Solve the rational equation. $$\displaystyle{\frac{{{5}}}{{{y}+{4}}}}-{\frac{{{9}}}{{{y}-{4}}}}={\frac{{{12}}}{{{y}^{{{2}}}-{16}}}}$$

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ANSWERED ### Solve the equation. $$\displaystyle{\log{{4}}}{x}-{\log{{\left({12}+{x}\right)}}}={\log{{2}}}$$

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ANSWERED ### Solve the equation. $$\displaystyle{32}^{{{x}+{5}}}={4}^{{{3}{x}-{1}}}$$

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ANSWERED ### Solve the equation. $$\displaystyle{{\log}_{{{6}}}{\left({x}+{5}\right)}}+{{\log}_{{{6}}}{x}}={2}$$

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ANSWERED ### First use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. Then solve the equation. $$\displaystyle{x}^{{{2}}}-{3}{x}-{54}={0}$$

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ANSWERED ### Find the solutions of the equation. $$\displaystyle{27}{x}^{{{3}}}={\left({x}+{5}\right)}^{{{3}}}$$

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ANSWERED ### Set up an equation and solve each problem. Explain how you would solve the equation $$3(x - 1) (x + 2) = 0$$ and also how you would solve the equation $$x(x - 1)(x + 2) = 0$$.

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ANSWERED ### Isolate the terms involving y on the left side of the equation: $$\displaystyle{y}^{{{2}}}+{2}{y}+{12}{x}-{23}={0}$$. Then write the equation in an equivalent form by completing the square on the left side.

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ANSWERED ### Solve the equation. $$\displaystyle{e}^{{{4}{x}}}+{4}{e}^{{{2}{x}}}-{21}={0}$$

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ANSWERED ### Determine whether the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify. $$\displaystyle\frac{{{3}{h}}}{{4}}+\frac{{{2}{h}}}{{5}}={1}$$

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ANSWERED ### What is the value of n such that the expression $$\displaystyle{x}^{{2}}+{11}{x}+{n}$$ is a perfect square trinomial? A. 11 B. 25 C. 30.25 D. 36

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ANSWERED ### Solve the equation. $$\displaystyle{x}^{{{4}}}-{3}{x}^{{{2}}}+{1}={0}$$

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ANSWERED ### Solve the equation. $$\displaystyle{4}\sqrt{{{1}+{3}{x}}}+\sqrt{{{6}{x}+{3}}}=\sqrt{{-{6}{x}-{1}}}$$

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ANSWERED ### Solve the equation. $$\displaystyle{\frac{{{5}}}{{{2}{x}+{3}}}}+{\frac{{{4}}}{{{2}{x}-{3}}}}={\frac{{{14}{x}+{3}}}{{{4}{x}^{{{2}}}-{9}}}}$$

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ANSWERED ### Solve the equation. $$\displaystyle{\ln{{x}}}={1}-{\ln{{\left({x}+{2}\right)}}}$$
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