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Novosadov [1.4K]
3 years ago
8

Solve the quadratic by quadratic formula 7x-10=x squared

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0
0= x^2-7x+10

Factor
(x-5)(x-2)=0

Check
-5-2=-7, -5*-2=10

Use ZPP
x-5=0
x=5

x-2=0
x=2

Final answer: x=2, x=5
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Step-by-step explanation:

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Now we now write the equation by equating to 0

x² - x - 20 = 0

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We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

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( x - ¹/₂ )²          =  ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

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x - ¹/₂               =     √⁸¹/₂

Therefore,

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                          -----------

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