Please help nobody is helping so far please help

Mathematics

2 answers:

forsale [732]3 years ago

8 0

Answer: 152ft square

Hope this helps!

galina1969 [7]3 years ago

3 0

The surface area is 516 square feet

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If the square of a number is added to 8 times the number, the result is 100.

klasskru [66]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

If the square of a number is added to 8 times the number, the result is 100. Find x.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

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.

__________________

$8 x + x ^ { 2 } = 100$

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.

$x^{2}+8x=100$

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.

$x^{2}+8x+4^{2}=100+4^{2}$