When is 2 x -3 equal to x squared minus 5

1 answer:

8 0

Solve: 2x - 3 = x^2 - 5 (at least, this is my interpretation of your 2 x -3).

x^2 - 5 - 2x + 3 + 0, or x^2 - 2x - 2 = 0

I will solve this by "completing the square:"

x^2 - 2x +(1)^2 - (1)^2 - 2 = 0, or x^2 - 2x + 1 - 1 - 2 = 0

This is (x-1)^2 = 3. Taking the sqrt of both sides, we get:

x-1 = plus or minus sqrt(3). Then x=1+sqrt(3) or x=1-sqrt(3). These are the two values of x for which 2x - 3 = x^2 - 5 is true.

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A clothing store is having a sale where all shirts are 40% off and all the pairs of pants are 30% off. Which of these are true?

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Answer:

Step-by-step explanation:

A. "a pair of pants originally priced at &40$ and a shirt originally priced at $45. He pays $55"—correct

(1-0.30)$40 + (1-0.40)$45 = $55

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D. "a pair of pants for sale price of $40.60. The pair of pants was originally priced at $58."—correct

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3 years ago

Read 2 more answers

If x=17, then 27+x=y.<br> What does y equal?

svet-max [94.6K]

Answer:

44=y

Step-by-step explanation:

27+x=y

We know x = 17, so we can substitute x=17 into the equation

27 + 17 = y

44=y