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Dafna11 [192]
3 years ago
8

Solve for completing the square x^2-12x+11=0

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

x = 6 ± 5

Step-by-step explanation:

x² - 12x + 11 =0

x² - 12x = -11          Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)

x² - 12x +36 = -11 + 36                      1/2(-12)² = 36

(x - 6)(x - 6) = 25

(x - 6)² = 25

\sqrt{(x-6)}² = \sqrt{25}                             square root of both side of the equation

x - 6 =  ± 5                                          (5)² = 25 and (-5)² = 25

x = 6 ± 5

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If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each s
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Answer:

shirt = $20

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Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

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Subtract equation 2 from 3

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divide both sides of the equation by 5

b = 20

substitute for b in equation 1

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collect like terms

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Step-by-step explanation:

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