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Anvisha [2.4K]
3 years ago
8

Solve the following quadratic equation by completing the square: x^2-12x+5=7 PLS HELP ASAP

Mathematics
2 answers:
FromTheMoon [43]3 years ago
4 0

Answer:

xd

Step-by-step explanation:

xd

pav-90 [236]3 years ago
3 0

Answer:

{x}^{2}  - 12x + 5 = 7

i) move constants to the right-hand side and change its sign

{x}^{2} - 12 {x} = 7 - 5

ii) subtract the numbers

{x}^{2}  - 12x = 2

iii) add (12/2)² to both sides of the equation

{x}^{2}  - 12x + ( \frac{12}{2} ) {}^{2}  = 2 + ( \frac{12}{2} ) {}^{2}

iv) using a²-2ab+b²=(a-b)² , factorize the expression

(x -  \frac{12}{2} ) {}^{2}  = 2 + ( \frac{12}{2} ) {}^{2}

v) calculate the value

(x -  \frac{12}{2}) {}^{2}   = 2 + 36

(x -  \frac{12}{2}) {}^{2} = 38

vi) reduce the fraction

(x - 6) {}^{2}  = 38

vii) solve the equation for x

x - 6 =  +  -  \sqrt{38}

1) first value of x

x - 6 =  \sqrt{38}

x =  \sqrt{38}  + 6 \: or \: 12.16

2) second value of x

x - 6 =  -  \sqrt{38}

x =  -  \sqrt{38}   + 6 \: or \:  - 0.16

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