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Determine the nature of root of the quadratic equation. m2 - 2m + 1 = 0 - Algebra

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प्रश्न

Determine the nature of root of the quadratic equation.

m2 - 2m + 1 = 0

योग

उत्तर

Given:

⇒ m2 - 2m + 1 = 0 compare with ax2 + bx + c = 0 

We get,

⇒ a = 1, b = - 2, c = 1

The value of the discriminant is

∴ b2 - 4ac
= (-2)2 - 4(1) (1) 
= 4 - 4
= 0

∴ b2 - 4ac = 0. Hence, roots are real and equal.

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अध्याय 2: Quadratic Equations - Problem Set 2 [पृष्ठ ५४]

APPEARS IN

बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
अध्याय 2 Quadratic Equations
Problem Set 2 | Q 6.3 | पृष्ठ ५४

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