If - and - are zeroes of the quadratic polynomial x2-6 x-a- find the value of - a - if 3 -2 -20-

Given that: α and β are the zeroes of the quadratic polynomial x2 − 6x + a and 3α + 2β = 20, then we have to find the value of a. We have the following procedu ...

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Standard X

Mathematics

Formation of a Quadratic Equation From It's Roots

If α and β ar...

Question

If α and β are zeroes of the quadratic polynomial x² − 6x + a; find the value of 'a' if 3α + 2β = 20.

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Solution

Given that: α and β are the zeroes of the quadratic polynomial x² − 6x + a and 3α + 2β = 20, then we have to find the value of a.

We have the following procedure.

Now, we are putting the value α in equation (1), we get

From equation (2), we have

Hence the value of a is −16.

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If α and β are zeroes of the quadratic polynomial x2 − 6x + a; find the value of 'a' if 3α + 2β = 20.

Given that: α and β are the zeroes of the quadratic polynomial x2 − 6x + a and 3α + 2β = 20, then we have to find the value of a. We have the following procedure. Now, we are putting the value α in equation (1), we get From equation (2), we have Hence the value of a is −16.

If α and β are zeroes of the quadratic polynomial x² − 6x + a; find the value of 'a' if 3α + 2β = 20.

Given that: α and β are the zeroes of the quadratic polynomial x² − 6x + a and 3α + 2β = 20, then we have to find the value of a.

We have the following procedure.

Now, we are putting the value α in equation (1), we get

From equation (2), we have

Hence the value of a is −16.