x^2=-11x-10 ?
Where did you get 110 from exactly?
Good question. I don' see no steenking 110.
However, if you want to solve the equation above, collect everything to one side:
x^2 + 11x + 10 = 0
(x+1)(x+10) = 0
so, if x = -1 or x = -10, the equation is satisfied.
check:
(-1)^2 =? -11(-1) - 10
1 =? 11 - 10
yes
(-10)^2 =? -11(-10) - 10
100 =? 110 - 10
yes.
Ah. Now I see a 110. It's 11*10
To solve the equation x^2 = -11x - 10, we can rearrange it into a quadratic equation by moving all the terms to one side:
x^2 + 11x + 10 = 0
Now, we can solve this equation.
There are several methods to solve quadratic equations, such as factoring, completing the square, or using the quadratic formula. In this case, let's use factoring.
First, we look for two numbers that add up to 11 (the coefficient of the x term) and multiply to give 10 (the constant term). The numbers that satisfy this are 1 and 10.
Next, we rewrite the middle term (11x) using these two numbers as coefficients:
x^2 + 1x + 10x + 10 = 0
Now, we group the terms and factor by grouping:
(x^2 + 1x) + (10x + 10) = 0
x(x + 1) + 10(x + 1) = 0
Now, we can see that we have a common factor of (x + 1), so we can factor that out:
(x + 1)(x + 10) = 0
Now, we can set each factor equal to zero and solve for x:
x + 1 = 0 or x + 10 = 0
Solving each equation gives us:
x = -1 or x = -10
Therefore, the solutions to the equation x^2 = -11x - 10 are x = -1 and x = -10.