Form quadratic equations with the following given numbers as its roots.
Problem 1 :
3 + i , 3 – i
Form quadratic equations with the following given numbers as its roots. Solution
Problem 2 :
4 + 5i, 4 - 5i
Problem 3 :
Find a quadratic polynomial whose zeroes are 2 + √3 and 2 – √3 Solution
Problem 4 :
What is an equation whose roots are 5+√2 and 5−√2
Problem 5 :
Find the quadratic polynomial with rational coefficients which has 1/(3+2√2) as a root.
Problem 6 :
Form a quadratic equation with the given roots 2 + √3, 2 - √3
1) x^{2} - 6x + 10 = 0
2) x^{2} - 8x + 41 = 0
3) x^{2} - 4x + 1 = 0
4) x^{2} - 10x + 23 = 0
5) x^{2} - 6x + 1 = 0
6) x^{2} - 4x + 1 = 0
Problem 1 :
Find the quadratic polynomial whose zeroes are −2 & 3
Problem 2 :
Find a quadratic polynomial whose zeroes are 2 + √3 and 2 – √3
Problem 3 :
Frame a quadratic polynomial p(x) whose sum of zeroes is -3 and the product of zeroes is -2/3.
Problem 4 :
Find a quadratic polynomial whose sum of zeroes is -12 and product is 14.
Problem 5 :
If the sum of the zeroes of the quadratic polynomial
f(x) = kx^{2} - 2x + 3 is 3
find k. Solution
Problem 6 :
The sum of the roots of the equation
3x^{2} + kx + 5 = 0
will be equal to the product of its roots. Solution
Problem 7 :
Find the value of k, given that the product of the roots of the equation
(k + 1)x^{2} + (4k + 3)x + (k – 1) = 0 is 7/2
Problem 8 :
Form an quadratic polynomial whose roots are 2, and -1/2.
Problem 9 :
What is an equation whose roots are 5+√2 and 5−√2
Problem 10 :
Write down the quadratic equation in general form for which sum and product of the roots are given below.
– 7/2 , 5/2
1) x^{2} - x - 6 = 0 2) x^{2} - 4x + 1 = 0 3) 3x^{2} +x - 2 = 0 4) x^{2} + 12 x + 14 = 0 5) k = -6 |
6) k = -5 7) k = -9/5 8) 2x^{2} - 4x - 1 = 0 9) x^{2} - 10x + 23 = 0 10) 2x^{2} + 7x + 5 = 0 |
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM