Value of m for which quadratic equation 2x2 - mx + m = 0 has equal roots, is : 1. 4 2. 8 3. -4 4. -8

Comparing equation 2x2 - mx + m = 0 with ax2 + bx + c = 0, we get : a = 2, b = -m and c = m. Given, Equation, 2x2 - mx + m = 0 has equal roots. ∴ b2 - 4ac = 0 ⇒ (-m)2 - 4 × 2 × m = 0 ⇒ m2 - 8m = 0 ⇒ m(m - 8) = 0 ⇒ m = 0 or m - 8 = 0 ⇒ m = 0 or m = 8. m cannot be zero as then equation 2x2 - mx + m = 0, will not be quadratic. ∴ m = 8. Hence, Option 2 is the correct option.

Mathematics

Value of m for which quadratic equation 2x² - mx + m = 0 has equal roots, is :
4
8
-4
-8

Quadratic Equations

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Answer

Comparing equation 2x² - mx + m = 0 with ax² + bx + c = 0, we get :

a = 2, b = -m and c = m.

Given,

Equation, 2x² - mx + m = 0 has equal roots.

∴ b² - 4ac = 0

⇒ (-m)² - 4 × 2 × m = 0

⇒ m² - 8m = 0

⇒ m(m - 8) = 0

⇒ m = 0 or m - 8 = 0

⇒ m = 0 or m = 8.

m cannot be zero as then equation 2x² - mx + m = 0, will not be quadratic.

∴ m = 8.

Hence, Option 2 is the correct option.

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Mathematics

Value of m for which quadratic equation 2x² - mx + m = 0 has equal roots, is :
4
8
-4
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Quadratic Equations

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Value of m for which quadratic equation 2x2 - mx + m = 0 has equal roots, is :48-4-8

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