Question

.
37. Form
quadratic polynomial whose zeroes are 3 + √2 and 3-√2​

Answer 1

Answer:

GIVEN

We are give the roots of a quadratic equation .

TO FIND

We need to find the quadratic equation whose roots are 3 +✓2 and3 -✓2

THEORY

The general form of a quadratic equation is :

x^2 - ( a + b)x + ab , where a and b are the roots of the quadratic equation

SOLUTION

Now we need to find the quadratic equation whose roots are 3 +✓2 and 3 -✓2

The equation is :

==> x^2 - ( 3 +✓2 + 3 - ✓2)x + [ 9 - 2] = 0

==> x^2 - 6x + 7= 0

Therefore the required quadratic equation is x^2 - 6x + 7 = 0