Math, asked by Chirandip2605, 1 year ago

Without solving examine the nature of roots of equation ×2-6x+9=0

Answers

Answered by krithi2001143
16
Heya mate!!

Here's your answer!!

For examining the nature of the roots of an equation, we should find it's discriminant(D).

If D = 0, roots are real and equal

If D > 0, roots are real

If D < 0, roots are imaginary

In this equation,

a = 1, b = -6 and c = 9

D = b² - 4ac

= (-6)² - 4 × 1 × 9

= 36 - 36

= 0

Therefore we can conclude that the roots of the quadratic equation x² - 6x + 9 are real and equal.

Hope it helps you!!

Cheers ☺☺

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Answered by eborda1982
1

Answer:

x² - 6x+ 9 =0

Step-by-step explanation:

nature of the roots of the quadratic equation

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