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Malik is solving the equation x^2- 10x - 11 = 0 using the complete the square method.
Here is Malik's work:

Malik checks his answer and realized he has mad a mistake. On which line did Malik make his mistake?

Explain Malik’s Mistake using the complete square method

HELP ME PLEASE ILL GIVE BRAINLIEST

Malik Is Solving The Equation X2 10x 11 0 Using The Complete The Square Method Here Is Maliks Work Malik Checks His Answer And Realized He Has Mad A Mistake On class=

Sagot :

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Answer:

In line 4, he did the mistake. He should have square rooted the other side as changing sides changes square to square root.

explanation:

line 1:   [tex]\sf p^2 - 10p - 11 = 0[/tex]

[tex]\sf p^2 - 10p = 11[/tex]

line 2:   [tex]\sf p^2 - 10p + 25 = 11 + 25[/tex]

[tex]\sf p^2 - 5p -5p+ 25 = 36[/tex]

[tex]\sf p(p-5)-5(p-5) = 36[/tex]

line 3:   [tex]\sf (p-5)^2 = 36[/tex]

line 4:   [tex]\sf p - 5 = \pm \sqrt{36}[/tex]

[tex]\sf p-5 = 6[/tex]   or   [tex]\sf p-5 = -6[/tex]

line 5: [tex]\sf p = 11[/tex]  or   [tex]\sf p = -1[/tex]

line 6: The solution is p = 11 or p = -1

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