Please show all work:
1)find the integers whose square is 36 more than 5 times itself
2) If x² is added to 7x, the sum is -12.What are possible values of x?
3)The area of a rectangle is 84 square inches. The length is 5 inches more than the width.Find the rectangle's length.
4) The area of a rectangle is 40 square meters. The width is 6 meters less than the length.Find the rectangle's width and length.
The following should help in getting you started:
means "the whole numbers and their negatives". Pick a variable to stand for "the integer". Then translate "the square of the integer", "five more than the integer", and "thirty-six more than (five more than the integer)" into algebraic expressions. Use the "is" to create the equation, and then solve the quadratic equation.
the formula for the area A of a rectangle with length L and width w. Also plug in the given value for the area A. Solve the resulting quadratic equation.