Mathematics
14.06.2022 01:32
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Billie solved the equation below by completing the square, but she got the incorrect

Billie solved the equation below by completing the square, but she got the incorrect solution. in which step did billie first make an error? choices: 1234

step 1: x^2+10x=49

step 2: x^2+10x+25=49

step 3: (x+5)^2=49

step 4: x+5=+-7

step 5: x=2, x=–12
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ssargeant2559
ssargeant2559
4,9(17 marks)

step 2

Step-by-step explanation:

we have

x^{2} +10x-49=0 ---> given problem

step 1

Move the constant to the right side

x^{2} +10x=49

the step 1 is correct

step 2

Complete the square

x^{2} +10x+5^2=49+5^2

x^{2} +10x+5^2=74

The step 2 is not correct

step 3

Rewrite as perfect squares

(x+5)^{2}=74

step 4

take square root both sides

x+5=\pm\sqrt{74}

step 5

Find the values of x

x=-5\pm\sqrt{74}

x=-5+\sqrt{74}

x=-5-\sqrt{74}

WolfMeadows
WolfMeadows
4,5(50 marks)

Length = 7 inches

Step-by-step explanation:

Perimeter = 2L+2W

Perimeter = 26

W = 6

Plug these in: 26=2L + 2*6 ; 26 = 2L + 12

Subtract 12 from both sides.

26-12 = 2L +12 -12 ; 14 = 2L

Devide by 2

14/2 = 2L/2

L=7

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