Find a quadratic polynomial zeroes are 5 - 3root 2 and 5 + 3root 2
Answers
Answered by
3
Zeros of quadratic polynomials are: 5-3√2 and 5+3√2
Then sum of the roots = 5-3√2+5+3√2=10 and
product of the roots = (5-3√2)(5+3√2)=(5)²-(3√2)²=25-18=7
The required quadratic polynomial is:
x²-(sum of the roots)x+product of the roots=0
or, x²-10x+7=0
Then sum of the roots = 5-3√2+5+3√2=10 and
product of the roots = (5-3√2)(5+3√2)=(5)²-(3√2)²=25-18=7
The required quadratic polynomial is:
x²-(sum of the roots)x+product of the roots=0
or, x²-10x+7=0
Answered by
4
Sum of zeroes = 5 - 3√2 + 5 + 3√2 = 10
Product of the zeroes= (5 - 3√2) * (5 + 3√2)
= 25 - 18
= 7
Quadratic polynomial = x² - (sum of the zeroes)x + (product of zeroes)
= x² - 10x + 7
Product of the zeroes= (5 - 3√2) * (5 + 3√2)
= 25 - 18
= 7
Quadratic polynomial = x² - (sum of the zeroes)x + (product of zeroes)
= x² - 10x + 7
Mathexpert:
why edit option is not available?
Similar questions