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2 years ago

1/4 (x + 12) = 5? Simplify (distribute) and rewrite your expression Solve for X

Mathematics

2 answers:

ladessa [460]2 years ago

5 0

Answer: x = 8

Step-by-step explanation: 1/4(x+12)=5 is the same as 1/4x + 3 = 5. 1/4 of 8 is 2. 2+3=5.

krek1111 [17]2 years ago

4 0

Simplified Answer: X = 8

Have a good day :)

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Answer:

B. $x = -4\,\lor \,x = -1$

Step-by-step explanation:

Let $\sqrt{-4-5\cdot x} = x$ , we solve for $x$ by algebraic means.

1) $\sqrt{-4-5\cdot x} = x$ Given

2) $-4-5\cdot x = x^{2}$ Definition of power/Symmetry of equality

3) $x^{2}+5\cdot x + 4 = 0$ Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) $(x+4)\cdot (x+1) = 0$ $x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)$

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Hence, the correct answer is B.

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