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4 years ago

Solve x2+12x=-11 by completing the square . Which is the the solution set of the equation?

Mathematics

2 answers:

Dmitriy789 [7]4 years ago

8 0

Answer:

{- 11, - 1 }

Step-by-step explanation:

Since the coefficient of the x² term is 1 , to complete the square

add (half the coefficient of the x-term )² to both sides

x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side

(x + 6)² = 25 ( take the square root of both sides

$\sqrt{(x+6)^2}$ = ± $\sqrt{25}$

x + 6 = ± 5 ( subtract 6 from both sides )

x = - 6 ± 5

x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11

katrin2010 [14]4 years ago

4 0

Answer:

{- 11, - 1 }

Step-by-step explanation:

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stich3 [128]

Answer:

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Step-by-step explanation:

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3 years ago

What are the solutions to the equation (x + 2)^2 = 49?

Mekhanik [1.2K]

Answer:

X= 5, -9

Step-by-step explanation:

(X+2)² =49

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Apply the distributive property;

X(X+2) +2 (X+2) =49

X²+2X+2X+4=49

X²+4X+4=49

Move 49 to the left side of the equation;

X²+4X+4-49=0

X²+4X-45=0

Apply Factorisation method;

Consider the form

a²+bx+c=0

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B =4 and C =45

We can use 9 and -5, this is because ;

9+(-5)=4 and 9*(-5)= 45.

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8 0

3 years ago

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Suppose that a sequence is defined as follows. This the 1st four terms of the sequence. ASAP BRANLIEST TY!!

SashulF [63]

Answer:

- 3, 16, - 22, 54

Step-by-step explanation:

Using the recursive formula with a₁ = - 3, then

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5 0

3 years ago

What is the value of x?

trasher [3.6K]

These are vertical angles so they’re equal.
2x+2=3x-52
X=54

Check: 2(54)+2=110 and 3(54)-52=162-52=110

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3 years ago

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mart [117]

Answer:

Step-by-step explanation:

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3 years ago

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