ayoismeisjjjjuan
13.07.2019 •
Mathematics
Which of the following are solutions to the equation below? check all that apply. x^2 + 4x + 4 = 12 a. x =- √2+12 b. x = √2+12 c. x = -2√3-2 d. x = -2√3+2 e. x = 2√3-2 f. x = 2√3+2
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Ответ:
There are several ways in which we could answer this question. My choice is to actually solve the given quadratic equation, x^2 + 4x + 4 = 12.
Note that x^2 + 4x + 4 is a perfect square. Thus,
x^2 + 4x + 4 = 12 is the same as (x+2)^2 = 12, so that
x+2 = plus or minus √3*√4, or plus or minus 2√3.
Thus, the two real, unequal roots are
x = -2 + 2√3 and x = -2 - 2√3. These correspond to answer choices C and E.
Ответ:
5x^2
Step-by-step explanation:
You want to divide 50x and 10x first, then you want to do subtract the exponents