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Sagot :
Answer:
[tex]x=-10[/tex] or [tex]x=4[/tex]
Step-by-step explanation:
[tex]ax^2+bx+c=0[/tex]
[tex]x^2-6x-40=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(-40)}}{2(1)}[/tex]
[tex]x=\frac{-6\pm\sqrt{36+160}}{2}[/tex]
[tex]x=\frac{-6\pm\sqrt{196}}{2}[/tex]
[tex]x=\frac{-6\pm14}{2}[/tex]
[tex]x=-3\pm7[/tex]
[tex]x=-10[/tex] or [tex]x=4[/tex]
Always try to show the FOIL (first outer inner last) breakout if you can.
Think of the factors of 40 - fortunately only a few options come to mind.
10x4 and 8x5
Knowing the “inner” term is 6, this means the factors are 4 and 10 because 10-4=6
The inner term is negative, so the first term must have a -10 in it.
Therefore:
(x-10)*(x+4)=0
Or
X = 10
X = -4
Think of the factors of 40 - fortunately only a few options come to mind.
10x4 and 8x5
Knowing the “inner” term is 6, this means the factors are 4 and 10 because 10-4=6
The inner term is negative, so the first term must have a -10 in it.
Therefore:
(x-10)*(x+4)=0
Or
X = 10
X = -4
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