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Magazine Problem 65
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$2 x^{2}+7 x-5=3 x^{2}+9 x-4$$
Problem 66
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$x^{2}+4 x+9=3 x^{2}+4 x+1$$
Problem 67
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$(y-2)(y+3)=y+10$$
Problem 68
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$(3 y-1)(2 y+3)=7\left(y^{2}+y-2\right)$$
Problem 69
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$(y-2)(y+3)=(2 y-7)(y+4)$$
Problem 70
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$(y+3)(y-5)=(2 y+5)(y-3)$$
Problem 71
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$\frac{2 x}{x+1}=\frac{x}{x-1}$$
Problem 72
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$\frac{a+1}{a+3}=\frac{a}{a+1}$$
Problem 73
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$4(x+1)=\frac{9}{x+1}$$
Problem 74
In Exercises \(65-74\), solve the given equation. For quadratic equations, choose either the factoring method or the square root method, whichever you think is the easier to use. $$\frac{1}{x}+\frac{6}{x+2}=2$$
