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Anton [14]
3 years ago
6

X^2 + 4x + 4 = 10please help!! I missed class! show steps!​

Mathematics
1 answer:
lina2011 [118]3 years ago
3 0

Answer:

x = √(10) - 2, -√(10) - 2

Step-by-step explanation:

x² + 4x + 4 = 10

factor:

(x + 2)² = 10

take square root of both sides:

x + 2 = ±√(10)

split into 2 equations:

x + 2 = √(10)      x + 2 = -√(10)

solve both equations and collect solutions:

x = √(10) - 2, -√(10) - 2

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\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3

The coordinates of the fourth vertex is D(4,-3)

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What is the value of x in the equation
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D 57

Step-by-step explanation:

The value of X

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