Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Live 1-1 coding classes to unleash the creator in your Child
for a given value of k the product of the solutions of x^2-3kx+2k^2-1=0 is 7. Are the roots rational, irrational, or imaginary
Dear student As product of roots = 7hence 2k^2 – 1 = 7k^2 = 4 k = ± 2 Now discriminant 9k^2 – 8k^2 + 4 = k^2 + 4 = 4 + 4 = 16 = positive and perfect square Hence roots are rational
Dear student Product of zeroes = 7 2k^2 -1 =7 2k^2= 8 k= 2 (Positive or negative) So given equation x 2 – 3kx + 2k 2 – 1 becomes x 2 ± 6x + 7Apply quadratic equation formula x = ± 3 ± sqrt(2) Which is irrational number.Good Luck
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -