Question

2. Form a quadratic equation whose roots are

Answer 1

In the attachments I have answered this problem.

Formation of quadratic equation:

If a and b are given roots, the quadratic equation is formed by using following formula

x^2 - ( sum of the roots)x + (product of the roots) = 0

x^2 -(a+b) x + ab = 0

See the attachments for detailed solution

Answer 2

Solution :

*******************************************
Quadratic equation whose roots are

m , n is

x² - ( m + n )x + mn = 0

*******************************************
i ) Here ,

m = 3 , n = 4 ,

Quadratic equation whose roots

are m = 3 , n = 4 is

x² - ( 3 + 4 )x + 3 × 4 = 0

=> x² - 7x + 12 = 0

ii ) m = 3 + √7 , n = 3 - √7

Quadratic equation whose roots

are m = 3 + √7 and n = 3 - √7,

x² - (3 +√7 +3-√7)x+(3+√7)(3-√7)=0

=> x² - 6x + 3² - ( √7 )² = 0

=> x² - 6x + 9 - 7 = 0

=> x² - 6x + 2 = 0

••••