Answer is 750
Explanation; because 500 + 250 = 750
<span>x^2 + 15x + 56.25 = 105.25
"Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
x^2 + 15x + 56.25 = 49 + 56.25
Which is
x^2 + 15x + 56.25 = 105.25
Which is the answer desired.
Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?"
Well, we know that the left hand side of the equation can now be written as
(x+7.5)^2 = 105.25
Now take the square root of each side
(x+7.5) = sqrt(105.25)
And let's use both the positive and negative square roots.
So
x+7.5 = 10.25914226
and
x+7.5 = -10.25914226
And let's find X.
x+7.5 = 10.25914226
x = 2.759142264
x+7.5 = -10.25914226
x = -17.75914226
So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
Answer: The value of x is 8x
Step-by-step explanation:
Answer:
1. 188.57 meters 2. 1254.20 metres
Step-by-step explanation:
Answer:
Larry's statement is correct
Step-by-step explanation:
Larry says 5 × 900 is less than 5 × 9,000.
Doni says 5 × 900 is greater than 5 × 9,000.
5 × 900 = 4500
5 × 9000 = 45,000
45,000 is greater than 4500 because the place value of 45,000 is tens thousands and 4500 is Thousands.
Hence, Larry's statement is correct.(Larry says 5 × 900 is less than 5 × 9,000.)
