A rental car company charges
1 answer:
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Answer:
B
Step-by-step explanation:
- 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.
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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.
The side lengths of the mirrors are 1.5 ft and 2.5 ft respectively.
<u><em>Explanation</em></u>
Given that, the area of smaller mirror is 2.25 ft² and the area of larger mirror is 6.25 ft²
<u>Formula for the area of a square</u> : , where
is the side of the square.
Lets assume, the side length of smaller mirror is ft and the side length of larger mirror is
ft.
So....
and
Thus, the side length of smaller mirror is 1.5 ft and side length of larger mirror is 2.5 ft.