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Masja [62]
4 years ago
12

Filled immediately after 32754

Mathematics
1 answer:
Vinvika [58]4 years ago
6 0
2 is the answer/.................../.mvfwm/sfibghuw4
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FromTheMoon [43]

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Step-by-step explanation:

Given equation is:

x^2-8x-65=0

Adding 65 to both sides

x^2-8x-65+65=0+65\\x^2-8x=65

Now to decide what to add

8x = 2ab\\8x=2.x.b\\\frac{8x}{2x} = b\\b=4

So we will add (4)^2 to both sides

x^2-8x+(4)^2=65+(4)^2\\Using\ formula: (a^2-2ab+b^2)=(a-b)^2\\(x-4)^2=65+16\\(x-4)^2=81Taking\ square\ root\ on\ both\ sides\\\sqrt{(x-4)^2}=\sqrt{81}\\x-4=-9\ \ \ \ and\ x-4=9\\x=-9+4\ \ \ \ and\ \ \ x=9+4\\x=-5,\ x=13

So the solution is:

x=-5 and x=13

Keywords: Completing Square, Variables

Learn more about quadratic equations at:

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