Math, asked by sankararul83, 11 months ago

if the equation X square minus A X + 1 is equal to zero has two distinct roots then​

Answers

Answered by skyfall63
6

The equation x²- Ax + 1 = 0 is equal to zero has two distinct roots.

Explanation:

Given: x²- Ax + 1 = 0

a = 1, b = - A, c = 1

We know that Quadratic equation is ax² + bx + c  = 0

Rules to find the distinct roots using Determinant D = b² - 4ac

  • D > 0 means two real, distinct roots.
  • D = 0 means two real, identical roots
  • D < 0 means no real roots.

Therefore, Case (1): D > 0

D = (-A)² - 4 x 1 x 1

0 = A² - 4

A² = 4

A = 2 > 0

So, the equation x²- Ax + 1 = 0 is equal to zero has two distinct roots.

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Answered by missssiddique
1

Answer:

Thank you so much for this sir

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