Which of the following equations has two real and distinct roots ? 1. 2x 2 - = 0 2. x 2 + x - 5 = 0 3. x 2 + 3x + = 0 4. 7x 2 - 3x + 1 = 0

For an equation having real and distinct roots : b 2 - 4ac 0 Comparing equation (1) with ax 2 + bx + c, we get : a = 2, b = Substituting values in b 2 - 4ac, ⇒ ⇒ ⇒ 0. Comparing equation (2) with ax 2 + bx + c, we get : a = 1, b = 1 and c = -5. Substituting values in b 2 - 4ac, ⇒ 1 2 - 4 × 1 × (-5) ⇒ 1 + 20 ⇒ 21. Since, b 2 - 4ac 21. ∴ x 2 + x - 5 = 0 has real and distinct roots. Hence, Option 2 is the correct option.

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Mathematics

Which of the following equations has two real and distinct roots ? 1. 2x2 - = 0 2. x2 + x - 5 = 0 3. x2 + 3x + = 0 4. 7x2 - 3x + 1 = 0

Quadratic Equations

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Mathematics

Which of the following equations has two real and distinct roots ? 1. 2x<sup>2</sup> - = 0 2. x<sup>2</sup> + x - 5 = 0 3. x<sup>2</sup> + 3x + = 0 4. 7x<sup>2</sup> - 3x + 1 = 0

Quadratic Equations

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Which of the following equations has two real and distinct roots ? 1. 2x<sup>2</sup> - = 0 2. x<sup>2</sup> + x - 5 = 0 3. x<sup>2</sup> + 3x + = 0 4. 7x<sup>2</sup> - 3x + 1 = 0

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If the sum of three numbers in A.P. is 48; then the middle term is :1618126

The marked price of an essential item is ₹ 1500. If it is sold at 14% discount, then the bill amount including GST is :
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₹ 1710
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If the sum of three numbers in A.P. is 48; then the middle term is :
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