Answer:

angle of triangle are 3x ,2x-7 ,4x-11

as per property of triangle

the sum of all three angles are 180 degree

3x+2x+4x-7-11=180

9x-18=180

9x=180+18

9x=198

x=198/9

x=22 degree

1st angle 3x=3x22=66

2nd angle 2x-7 2x22-7=37

3rd angle 4x-11=4x22-11=77

Answer 66 degree

37 degree

77 degree

Step-by-step explanation:

Verified answer

Answer:

To find the square root of the given polynomial x 4−10x3+37x2−60x+36, we must equate it to the general form of equation that is (ax 2+bx+c) as shown below:

x4-10x 3+37x 2−60x+36

=ax+bx+c

⇒(x4−10x 3+37x 2−60x+36)2

=(ax 2+bx+c) 2

⇒x4−10x3+37x 2 −60x+36=(ax 2 +bx+c)2

⇒x 4 −10x 3 +37x 2 −60x+36=(ax 2 ) 2+(bx) 2 +(c) 2 +(2×ax 2 ×bx)+(2×bx×c+(2×c×ax 2 )(∵(a+b+c) 2

=a 2 +b 2 +c 2+2ab+2bc+2ca)

⇒x 4 −10x 3+37x 2 −60x+36=a 2 x 4 +b2+c 2 +2abx 3 +2bcx+2acx 2

Now, comparing the coefficients, we get:

a 2 =1,b 2 +2ac

=37,c 2

=36,2ab

=−10,2bc

=−60

a2 =1

⇒a=1

c2=36

⇒c=6

2ab=−10

⇒2×1×b=−10

⇒2b=−10

⇒b=−5

Therefore, a=1,b=−5,c=6 and substituting the values in the equation (ax2+bx+c), we get x2−5x+6.

Hence, the square root of x4−10x3+37x 2−60x+36 is ∣∣∣

(x2−5x+6) ∣∣∣.

Step-by-step explanation:

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