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notsponge [240]
2 years ago
13

Please help!! I’m stuck on this

Mathematics
1 answer:
beks73 [17]2 years ago
7 0

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)

5) x = -4\,\lor \,x = -1 Result

Hence, the correct answer is B.

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