The equation 2x 2 - 3x + k = 0 is satisfied by x = 2; the value of k is : 1. -2 2. 2 3. 4 4. 3

Given, x = 2 satisfies the equation 2x 2 - 3x + k = 0. ∴ 2(2) 2 - 3(2) + k = 0 ⇒ 2(4) - 6 + k = 0 ⇒ 8 - 6 + k = 0 ⇒ k + 2 = 0 ⇒ k = -2. Hence, Option 1 is the correct option.

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Mathematics

The equation 2x² - 3x + k = 0 is satisfied by x = 2; the value of k is :
-2
2
4
3

Quadratic Equations

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Answer

Given,

x = 2 satisfies the equation 2x² - 3x + k = 0.

∴ 2(2)² - 3(2) + k = 0

⇒ 2(4) - 6 + k = 0

⇒ 8 - 6 + k = 0

⇒ k + 2 = 0

⇒ k = -2.

Hence, Option 1 is the correct option.

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The equation 2x² - 3x + k = 0 is satisfied by x = 2; the value of k is :
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Quadratic Equations

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