Sita is told that a quadratic equation has roots whose sum is 10 and whose product is 21.
She wants the difference of the two roots (larger minus smaller).
What is that difference?

Question

Sita is told that a quadratic equation has roots whose sum is 10 and whose product is 21. She wants the difference of the two roots (larger minus smaller). What is that difference?

Accepted Answer

4. Roots solve x^2 - 10x + 21 = 0, i.e. (x-3)(x-7)=0. Difference = 7 - 3 = 4. (Or ( sum)^2 - 4 product = √100-84 = 4.)

Sita is told that a quadratic equation has roots whose sum is 10 and whose product is 21.
She wants the difference of the two roots (larger minus smaller).
What is that difference?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Sum and Product of Roots practice

Sita is told that a quadratic equation has roots whose sum is 10 and whose product is 21.She wants the difference of the two roots (larger minus smaller).What is that difference?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Sum and Product of Roots practice

Sita is told that a quadratic equation has roots whose sum is 10 and whose product is 21.
She wants the difference of the two roots (larger minus smaller).
What is that difference?