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2 years ago

8

What number must you add to complete the square x^2+4x=15

1 answer:

Andrew [12]2 years ago

6 0

Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.

(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²

Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2

Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²

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Olenka [21]

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Step-by-step explanation:

<u>Step 1</u>

If QS is a circle diameter,

then m∠QTS=180°.

Let x be the measure of angle RTQ: ∠RTQ =x.

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<u>Step 2</u>

According to the question,

∠RTQ = ∠RTS - 12°

⇒ ∠RTS = x + 12°

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<u>Step 3</u>

Now,

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3 years ago

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Let f(x) = x ^ 2 - x - 2 and g(x) = - 6x - 8. Find g(2) and f(g(2)). Mathfrak g (2)= Box (Simplify your answer. ) f(g(2)) = ( Si

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When a function is written inside the another function, then such function is called the composite function.

The first function given in the problem is,

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To find out the value of g(2), put the 2 on place of variable x in the above equation as,

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The composite function f(g(x)) can be given as,

$f(g(2))= (-20)^2 - (-20) - 2\\f(g(2))=418$

Thus, the value of the function f(g) after simplifying and putting 2 in place of <em>x</em> is -20 and the value of f(g(2)) is 418.

Learn more about the composite function here:

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2 years ago

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Zolol [24]

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