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OlgaM077 [116]
3 years ago
9

Solve for x. Write the smaller solution first, and the larger solution second.

Mathematics
2 answers:
vekshin13 years ago
6 0

Answer:

x=-4.73   x=-1.27

Step-by-step explanation:

(x + 3)^2 - 3 = 0

Add 3 to each side

(x + 3)^2 - 3 +3= 0+3

(x + 3)^2 = 3

Take the square root of each side

sqrt((x + 3)^2) =±sqrt( 3)

(x + 3) =±sqrt( 3)

Subtract 3 from each side

x + 3-3 =-3±sqrt( 3)

x = -3±sqrt( 3)

Approximating to 2 decimal places

x=-1.27 x=-4.73

Fynjy0 [20]3 years ago
4 0

Answer:

x = -4.73, -1.27

Step-by-step explanation:

(x + 3)² - 3 = 0

(x + 3)² = 3

(x + 3) = +/- sqrt(3)

x = -3 +/- sqrt(3)

x = -4.73, -1.27

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=========================================

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We could use the AC factoring method here. Multiply the first coefficient (10) with the last term (3) to get 10*3 = 30.

We need to find factors of 30 that add to 11

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To check the answer, use either the box method, distribution, or FOIL rule to expand out (5x+3)(2x+1) and you should get 10x^2+11x+3 again.

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As an alternative, you can solve 10x^2+11x+3 = 0 through any method you prefer (graphing, completing the square, quadratic formula). The quadratic formula is the best option as it works for any quadratic. The two solutions you should get are x = -3/5 and x = -1/2

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Note how we have the 5x+3 and 2x+1 as found in the section above. At this point we can stop as we found the factors needed. I'm using the zero product property which says that if A*B = 0, then either A = 0 or B = 0.

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