Question

What is (x+5)+2x^2=2x+1

Answer 1

No real solutions.

Explanation:

Step 1: Simplify both sides of the equation.

2x^2+x+5=2x+1

Step 2: Subtract 2x+1 from both sides.

2x^2+x+5−(2x+1)=2x+1−(2x+1)

2x^2−x+4=0

Step 3: Use quadratic formula with a=2, b=-1, c=4.

x= −b±√b2−4ac/2a

x= −(−1)±√(−1)^2−4(2)(4)/2(2)

x= 1±√−31/4

Answer 2

Explanation:

Area of Square = (x+5)²= x² + 10x + 25

Area of rectangle = 2x * x = 2x²

area of rectangle + 1 = Area of square

2x² + 1 = x² + 10x +25

2x² + 1 - x² - 10x - 25 = 0

x² - 10x - 24 = 0

(x - 12) (x + 2) = 0

x - 12 = 0 ; Ignore x + 2 because length wont come in negative

x = 12