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Softa [21]
3 years ago
6

Complete the square for 2x^2-4x=14

Mathematics
2 answers:
Charra [1.4K]3 years ago
5 0

2x² - 4x = 14

<u>Divide by 2 through:</u>

x² - 2x = 7

<u>Add in the term (b/2)² :</u>

x² - 2x + (2/2)² = 7 + (2/2)²

<u>Complete the square:</u>

(x - 1)² = 7 + 1

<u>Combine like terms:</u>

(x - 1)² = 8

Answer: (x - 1)² = 8

------------------------------------------------------------------------------------------------------------

The question did not ask to solve x. But here is the solution if needed to solve x:

(x - 1)² = 8

x - 1 = ±√8

x = 1 ±√+8

x =1 + 2√2 or x = 1 - 2√2

Answer: x =1 + 2√2 or x = 1 - 2√2

galina1969 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

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<u>Step 2: Find</u>

  1. Substitute in <em>x </em>[Function h(x)]:                                                                          h(x - 1) = -5(x - 1) - 7
  2. [Distributive Property] Distribute -5:                                                                h(x - 1) = -5x + 5 - 7
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5 0
3 years ago
X + y = -1<br> X - y = 7
enyata [817]
1: Solve for either x or y in one of the equations. So x + y = -1 is y = -x -1
2: substitute the new equation in the opposite equation. So x - (-x - 1) = 7
3: distribute the negative. X + x + 1 = 7
4: combine like terms. 2x + 1 = 7
5: solve for x. Subtract 1 on both sides. 2x = 6
6: divide by 2 to get x by itself. X = 3
7: plug the new value of x into one of the ORIGINAL equations. 3 + y = -1
8: solve for y. Subtract 3 on both sides.
Y = -4
9: the solution is written as (x,y) so the solution would be (3, -4)
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What is the product of 1 1/2 and -1 1/4?
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positive number times negative number is negative number "(+)(-) = (-)".

1\dfrac{1}{2}\cdot\left(-1\dfrac{1}{4}\right)=-\left(1\dfrac{1}{2}\cdot1\dfrac{1}{4}\right)

we change the mixed numbers to the improper fractions

=-\left(\dfrac{1\cdot2+1}{2}\cdot\dfrac{1\cdot4+1}{4}\right)=-\left(\dfrac{3}{2}\cdot\dfrac{5}{4}\right)=-\dfrac{3\cdot5}{2\cdot4}=-\dfrac{15}{8}=-1\dfrac{7}{8}

6 0
3 years ago
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