What is (x+5)+2x^2=2x+1
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Answer:
Step-by-step 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
Answer:
No real solutions.
Step-by-step 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