Find all values of x satisfying the given conditions. y₁ = x - 1, y₂ = x + 4 and y₁y₂ = 14

Find all values of x satisfying the given conditions. y₁ = 2x² + 5x - 4, y₂ = - x² + 15x - 10, and y₁ - y₂ = 0

Solve each equation by the method of your choice. 1/(x² - 3x + 2) = 1/(x + 2) + 5/(x² - 4)

Write a quadratic equation in general form whose solution set is {- 3, 5}.

If a number is decreased by 3, the principal square root of this difference is 5 less than the number. Find the number(s).

If 5 times a number is decreased by 4, the principal square root of this difference is 2 less than the number. Find the number(s).

In Exercises 101–106, solve each equation.$x(x+1{)}^3-42(x+1{)}^2=0$

In Exercises 101–106, solve each equation. $\mid x^2+2x-36\mid =12$