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Magazine Problem 12
Determine whether the equation is an identity, a conditional equation, or a contradiction. $$-5(x-1)=-5(x+1)$$
Problem 12
Find all solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically. $$x^{4}-2 x^{3}=16+8 x-4 x^{3}$$
Problem 12
(a) create a scatter plot of the data, (b) draw a line of fit that passes through two of the points, and (c) use the two points to find an equation of the line. $$(-2,3),(-2,4),(-1,2),(1,-2),(0,0),(0,1)$$
Problem 12
Solve the quadratic equation by factoring. Check your solutions in the original equation. $$x^{2}-10 x+9=0$$
Problem 13
Determine whether the equation is an identity, a conditional equation, or a contradiction. $$(x+3)(x-5)=x^{2}-2(x+7)$$
Problem 13
Solve the quadratic equation by factoring. Check your solutions in the original equation. $$x^{2}-8 x+16=0$$
Problem 13
Solving an Equation of Quadratic Type In Exercises 13-16, find all solutions of the equation algebraically. Check your solutions. $$x^{4}-4 x^{2}+3=0$$
Problem 13
Find the \(x\) - and \(y\) -intercepts of the graph of the equation, if possible. $$y=\frac{4 x-8}{x}$$
Problem 13
(a) create a scatter plot of the data, (b) draw a line of fit that passes through two of the points, and (c) use the two points to find an equation of the line. $$(0,2),(-2,1),(3,3),(1,3),(4,4)$$
Problem 13
Determine whether each value of \(x\) is a solution of the inequality. Inequality \(5 x-12>0\) Values (a) \(x=3\) (b) \(x=-3\) (c) \(x=\frac{5}{2}\) (d) \(x=\frac{3}{2}\)
