If the product of the zeroes of the quadratic polynomial x2-3 a x-2 a2-1 is 7 - then a-

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Formation of a Quadratic Equation From It's Roots

If the produc...

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If the product of the zeroes of the quadratic polynomial x² – 3ax + 2a² – 1 is 7, then a = _______.

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Solution

Let f(x) = x² – 3ax + 2a² – 1
Let the zeroes of fx be α and β.Then,αβ=2a2-11⇒αβ=2a2-1⇒2a2-1=7 ∵ product of zeroes is 7⇒2a2=8⇒a2=4⇒a=±2
Hence, if the product of the zeroes of the quadratic polynomial x² – 3ax + 2a² – 1 is 7, then a = ±2.

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If the product of the zeroes of the quadratic polynomial x2 – 3ax + 2a2 – 1 is 7, then a = _______.

Let f(x) = x2 – 3ax + 2a2 – 1Let the zeroes of fx be α and β.Then,αβ=2a2-11⇒αβ=2a2-1⇒2a2-1=7 ∵ product of zeroes is 7⇒2a2=8⇒a2=4⇒a=±2Hence, if the product of the zeroes of the quadratic polynomial x2 – 3ax + 2a2 – 1 is 7, then a = ±2.

If the product of the zeroes of the quadratic polynomial x² – 3ax + 2a² – 1 is 7, then a = _______.

Let f(x) = x² – 3ax + 2a² – 1
Let the zeroes of fx be α and β.Then,αβ=2a2-11⇒αβ=2a2-1⇒2a2-1=7 ∵ product of zeroes is 7⇒2a2=8⇒a2=4⇒a=±2
Hence, if the product of the zeroes of the quadratic polynomial x² – 3ax + 2a² – 1 is 7, then a = ±2.