Answer:
We are given an expression and we are told to simplify it using distribution or multiplying it out.
Therefore, our final answer is
<u><em>Hope this helps!</em></u>
Select the best answer for the question.
1 answer:
You might be interested in
- If the square of a number is added to 8 times the number, the result is 100. Find x.
Let's take the number as 'x'.
- Square of x = x²
- 8 times x = 8x
We are given that, 8x + x² = 100
Now, let's solve for x.
__________________
Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form x²+bx=c.
Divide 8, the coefficient of the x term, by 2 to get 4. Then add the square of 4 to both sides of the equation. This step makes the left-hand side of the equation a perfect square.
Square 4.
Add 100 to 16.
Factor x²+8x+16. In general, when x²+bx+c is a perfect square, it can always be factored as .
Take the square root of both sides of the equation.
Simplify.
Subtract 4 from both sides of the equation.
- x can be either of these values.