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Fill in the blank with a number to make the expression a perfect square

2
x^ -10x+ what? ​

Fill in the blank with a number to make the expression a perfect square 2 x^ -10x-example-1

2 Answers

3 votes

Answer:

your answer will be 25

Explanation:

hope it helps

have a nice day

User Brendon Cheung
by
3.7k points
9 votes

Answer:

25

Explanation:

So basically remember that:


(a+b)^2=a^2+2ab+b^2

so far you have that


a^2 = x^2\\2ab = -10x

So if 2ab = -10x and a = x, that means 2xb = -10x so b = -5.

It's kind of confusing to think of it like that, but all that means is that the equation is:


(x - 5)^2

which would simplify to


x^2 - 10x + 25

so the blank is 25

User DrPrItay
by
4.2k points