Question

Do Tas
Solve the equations by completing the square
- 10x9-0
+7x - 6-0
m 2-30​

Answer 1

Answer:

1. 9 or 1    

2. 5-(√5)/2  or  5+(√5)/2

3.x=( [±√73] +7 ) /2

Step-by-step explanation:

1.  x²-10x+9=0

  a²-2ab+b²

∴a=x

-2ab=-10x

-2xb=-10x

b=10x/2x

b=5

b²=25

x²-2(x)(5)+25-25+9=0

(x-5)²=25-9

x-5=√16

x-5=±4

x=5±4

x=9 or x=1

2.  x²-5x+5=0

   a²-2ab+b²

  a=x

-2ab=-5x

b=-5x/-2x

b=5/2

b²=25/4

x²-2(x)(5/2)+25/4-25/4+5=0

(x-5/2)²=25/4 -5

x-5/2)²=  5/4

x-5=±√5/4

x=5±(√5)/2

3.  x²+7x-6=0

   a²+2ab+b²

a=x

2ab=7x

b=7/2

x²+2(x)(7/2)+49/4-49/4-6=0

(x+7/2)²=24/4+49/4

x+7/2=±√73/4

x=( [±√73] +7 ) /2

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