The base of a rectangle is x. Its height is 6x + 25. Its area is 25. Write an equation that represents the area of the rectangle. (HINT start with the formula for area and fill in the given information) Solve your equation for x. All answers must be in integer or fraction form.

x = -5 or 5/6

Step-by-step explanation:

The base of a rectangle is x. Its height is 6x + 25. Its area is 25. Write an equation that represents the area of the rectangle. (HINT start with the formula for area and fill in the given information) Solve your equation for x. All answers must be in integer or fraction form.

Area of a rectangle = Base × Height

From the above question:

25 = x × (6x + 25)

25 = 6x² + 25

Converting to algebraic expression

6x + 25x - 25 = 0

Factoring we have

(6x−5)(x+5) = 0

x+ 5 = 0

x = -5

6x - 5 = 0

6x = 5

x = 5/6

Therefore:

x = -5 or 5/6

3x^3-x^2+6x-9