The roots of the quadratic equation ax 2 + x + b = 0 are equal, if : 1. b 2 = 4a 2. b 2 4a 3. b 2 4b 4. b =

Comparing ax 2 + x + b = 0 with the standard form of quadratic equation ax 2 + bx + c = 0 we get, a = a b = 1 c = b We know that, Roots of a quadratic equation are equal if discriminant is equal to zero. Given, Roots of the quadratic equation ax 2 + x + b = 0 are equal. ∴ b 2 - 4ac = 0 ⇒ 1 2 - 4ab = 0 [∵ for the given equation a = a, b = 1 and c = b] ⇒ 1 = 4ab ⇒ b = Hence, Option 4 is the correct option.

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Mathematics

The roots of the quadratic equation ax2 + x + b = 0 are equal, if : 1. b2 = 4a 2. b2 4a 3. b2 4b 4. b =

Quadratic Equations

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Mathematics

The roots of the quadratic equation ax<sup>2</sup> + x + b = 0 are equal, if : 1. b<sup>2</sup> = 4a 2. b<sup>2</sup> 4a 3. b<sup>2</sup> 4b 4. b =

Quadratic Equations

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Mathematics

The roots of the quadratic equation ax<sup>2</sup> + x + b = 0 are equal, if : 1. b<sup>2</sup> = 4a 2. b<sup>2</sup> 4a 3. b<sup>2</sup> 4b 4. b =

Quadratic Equations

Related Questions

20 identical articles are sold at ₹ 350 each with GST = 12%. 10 other type of articles are sold at ₹ 500 each with GST = 18%. Total amount of bill is :₹ 12000₹ 13440₹ 13740₹ 14160

When x2 - 5x + p is divided by (x - 2), the remainder is 3. Then the value of p is :9-9-66

Which term of the A.P. 30, 27, 24, 21, ….. is the first negative term ?10th11th14th12th

20 identical articles are sold at ₹ 350 each with GST = 12%. 10 other type of articles are sold at ₹ 500 each with GST = 18%. Total amount of bill is :
₹ 12000
₹ 13440
₹ 13740
₹ 14160

When x² - 5x + p is divided by (x - 2), the remainder is 3. Then the value of p is :
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-6
6

Which term of the A.P. 30, 27, 24, 21, ….. is the first negative term ?
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