if x<5 then square root of x^2-10x+25 + x + 7 is equal to
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All answers are ok, I just wanted to add a simpler way to think about it, instead of “going by the book”.
So, I can see that if x^2 + 10x could make -25, then adding the +25 would lead to zero.
Since the sign of x does not matter when talking x^2 (either a minus or a plus x would result to a positive number if squared) this means that x^2 is positive and I have to reach my -25 target by subtracting a big number. So I thought if x^2 is 25 and 10x is -50 then I got my -25:
-5^2 +10(-5) = 25 - 50 = -25 my desired target which, when added to the rest +25 would give 0.
There you go, -5.
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