Answer:
x = 5
Step-by-step explanation:
x + 5 = {Midpoint theorem}
2(x+ 5) = x² - x
2x + 10 = x² - x
x² - x - 2x - 10 = 0
x² - 3x - 10 = 0
x² - 5x + 2x - (5*2) = 0
x(x - 5) + 2(x - 5) = 0
(x -5)(x + 2) = 0
{x + 2 is ignored because measurement could not be in negative value}
x - 5 = 0
x = 5
Answer:
The standard form of quadratic equation is
The factored form of is
Step-by-step explanation:
Given equation
We have to write in standard form and then factorize the given equation.
The standard form for a general quadratic equation is given as
Consider
Taking all terms to left side, we have,
Adding like terms, we have,
Now we will factorize it.
We will solve the quadratic equation using middle term splitting method,
-16x can be written as -18x+2x
becomes
Taking x common from first two terms and 2 common from last two terms we have,
Thus, the factored form of is