Question

The area of a rectangle can be expressionby 2x^2-7z-4 the rectangle has an area of 45 find positive value of x

Answer 1

x = sqrt((7 z)/2 + 2) or x = -sqrt((7 z)/2 + 2)

Explanation:

Solve for x:

-4 + 2 x^2 - 7 z = 0

Add 7 z + 4 to both sides:

2 x^2 = 7 z + 4

Divide both sides by 2:

x^2 = (7 z)/2 + 2

Take the square root of both sides:

Answer: x = sqrt((7 z)/2 + 2) or x = -sqrt((7 z)/2 + 2)