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2x+5=root x+10
Both sides are squared.
2x+5)^2=x+10
4x^2+20x+25=x+10
4x^2+19x+15=0
x+1)(4x+15)=0
x=-1/ x=-15/4
When x=-1, left=3, right=3 is the root of the original equation because left=right.
When x=-15 4, left ≠ right so to add roots.
So the root of the original equation is x=-1
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2x+5 = root number (x+10) When 2x+5 >=0 i.e. x>=-5 2, both sides are squared.
4x²+20x+25=x+10
4x²+19x+15=0
19²-4x4x15=121
x=(-19±11)/8
x1=(-19+11)/8=-1
x2=(-19-11) 8=-15 4 Because <-5 2 is rounded.
2x+5=root x+10
2x-5 = root number x when 2x+5 >=0 i.e. x>=-5 2, both sides are squared.
4x²-20x+25=x
4x²-21x+25=0
21²-4x4x25=41
x=(-19±√41)/8
x1=(-19+√41)/8
x2=(-19- 41) 8 because <-5 2 is rounded.
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2x+5=root x+10
Both sides are squared.
2x+5)^2=x+10
4x^2+20x+25=x+10
4x^2+19x+15=0
x+1)(4x+15)=0
So x=-1 or x=-15 4
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Root No. 2 Root No. 2-1
Root number 2 (root number 2 + 1) Square of root number 2 + 1 2
2 + root number 2
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i.e. x+1 = root number 2013
Square guess cherry blossoms on both sides.
x Pingdan Zhao Pao Fang + 2x + 1 = 2013
On both sides add the mold Chang on 1
x square + 2x + 2 = 2014
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x=2-root number 10, so (x-2) 2=10, so x 2-4x+4=10, so x 2-4x=6
then the value of the algebraic equation x2-4x-6 is 0
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√(x+2)=x
The square of both sides gives x+2=x
x²-x-2=0
x+1)(x-2)=0
x=-1 or x=2
When x=-1, it is not suitable to discard.
So, x=2
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The square of both sides is x+2=x square, and you will know x=2 at a glance.
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If the algebraic root number (x+2) is meaningful, then the range of x is x -2
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Because it makes sense for a quadratic radical to be squared greater than or equal to 0, x+2 0, i.e., x -2.
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If the question is the root number x-2, then the answer is x 2
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