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dimulka [17.4K]
3 years ago
5

What are the solutions of the equation (x-3)^2 + 2(x-3) -8 = 0

Mathematics
2 answers:
just olya [345]3 years ago
8 0
Hello,
(x-3)²+2(x-3)-8=0
x²-6x+9+2x-6-8=0
x²-4x-5=0
∆=b²-4ac=(4)²-4(-5)(1)=16+20=36
x₁,₂=-b±√∆/2a=4±6/2
x₁=4-6/2=-2/2=-1
x₂=4+6/2=10/2=5

Therefore the solutions are
x=-1 and x=5

See you soon :-)
Mariulka [41]3 years ago
6 0
Expand and simplify
(x-3) (x-3) +2(x-3) -8=0
(x-3+2)(x-3)-8=0
(x-1)(x-3)-8=0
x^2 -4x +3-8=0
x^2 - 4x -5=0
x^2 -5x +x-5=0
x(x-5)+x-5=0
(x+1)(x-5)=0
x= - 1, 5
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neonofarm [45]

Answer:

270 cm^2

Step-by-step explanation:

This is quite easy.

There is formula for it, the formula is bh/2

b= is the base or side that the triangle's altitude or height is perpendicular to.

h= is the height of the triangle or the altitude of the triangle.

I can always like to thing that a triangle is like half of a rectangle because the area for a rectangle is bh, but in a triangle it is half the bh.

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A line segment has endpoints (-5, 10) and (a,b) . If the midpoint of the segment is (13, -2), what is the absolute difference be
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If the line segment point is D(-5, 10) and E(a,b) and the  midpoint of the segment is F(13, -2) that mean 
DE= 2*DF

You can directly find the distance of AC 
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Then add the distance of AB( which is 2*AC) to point D
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<span>absolute difference between a and b:
|b-a|= </span>|-14-31|= 45
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3 years ago
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