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Lemur [1.5K]
3 years ago
8

How do you complete the square of x^2-14x+33=0?

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0
X² - 14x + 33 = 0 is in the form ax² + bx + c = 0. We will need this for the second step.

Subtract 33 from both sides
x² - 14x = - 33

Divide the b term by 2 and then square the result. Then add that to both sides.
- 14 / 2 is - 7. (- 7)² = 49. Add that to both sides

x² - 14x + 49 = - 33 + 49

Combine the constants and factor the trinomial
(x - 7)² = 16

Square root both sides
x - 7 = +/- 4
or
x - 7 = - 4 and x - 7 = 4

You have to place a plus-minus statement because (- 4)² and 4² both equal 16. 

Now we solve for x in each equation. Add 7 to both sides to isolate our variable.
x = 3 and x = 11

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mafiozo [28]

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3 years ago
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S_A_V [24]

Answer:

15%

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2 years ago
Whats 46.288 rounded to the nearest tenth
lesya692 [45]

Answer:

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Pls help I’m failing asap
Kryger [21]

Answer:

The equation 2d + 18 = 24 can help find the number of days Jerry has been doing sit-ups.

Step-by-step explanation:

During the first day, Jerry did 18 sit-ups, and he proceeded to do 2 more sit-ups each following day, so the expression to represent this situation is 2d + 18. Because he did 24 sit-ups today, to find the number of days he did sit-ups, the equation to solve is 2d + 18 = 24.

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