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Nana76 [90]
3 years ago
9

Solve x2 − 12x + 5 = 0 using the completing-the-square method. x = six plus or minus the square root of five x = negative six pl

us or minus the square root of five x = six plus or minus the square root of thirty one x = negative six plus or minus the square root of thirty one
Mathematics
1 answer:
Andru [333]3 years ago
5 0

we are given

x^2-12x+5=0

we have to solve it by completing square method

step-1: Move 5 on right side

x^2-12x+5-5=0-5

x^2-12x=-5

step-2: Break middle term

x^2-2*6*x=-5

step-3: Add 6^2 both sides

x^2-2*6*x+(6)^2=-5+(6)^2

(x-6)^2=31

step-3: Solve for x

\sqrt{(x-6)^2} =\sqrt{31}

we wil get two values

First value is

x-6=\sqrt{31}

add both sides 6

x-6+6=6+\sqrt{31}

x=6+\sqrt{31}

Second value is

x-6=-\sqrt{31}

add both sides 6

x-6+6=6-\sqrt{31}

x=6-\sqrt{31}

so, solutions are

x=6+\sqrt{31}

x=6-\sqrt{31}.............Answer

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