Mathematics
Quadratic-Equations
Easy
Question
If one of roots of 2x2 + ax + 32 = 0 is twice the other root, then the value of a is ________.
The correct answer is:
Related Questions to study
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If 
, then 4x is equal to
If , then 4x is equal to
MathematicsQuadratic-Equations
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In the equation 
, the roots are equal when m = ____ .
In the equation , the roots are equal when m = ____ .
MathematicsQuadratic-Equations
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The roots of the equation x2/3 + x1/3 – 2 = 0 are ________.
The roots of the equation x2/3 + x1/3 – 2 = 0 are ________.
MathematicsQuadratic-Equations
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If the roots of the equation (a2 + b2) x2 – 2b(a + c)x + (b2 + c2) = 0 are equal, then ________.
If the roots of the equation (a2 + b2) x2 – 2b(a + c)x + (b2 + c2) = 0 are equal, then ________.
MathematicsQuadratic-Equations
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Roots of the quadratic equation x2 + x – (a + 1)(a + 2) = 0 are ________.
Roots of the quadratic equation x2 + x – (a + 1)(a + 2) = 0 are ________.
MathematicsQuadratic-Equations
Mathematics
For what value of a, the roots of the equation 2x2 + 6x + a = 0, satisfy the condition 
(where a and b are the roots of equation).
For what value of a, the roots of the equation 2x2 + 6x + a = 0, satisfy the condition (where a and b are the roots of equation).
MathematicsQuadratic-Equations
Mathematics
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of x2 correctly as –6 and 1 respectively. The correct roots are ____.
One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of x2 correctly as –6 and 1 respectively. The correct roots are ____.
MathematicsQuadratic-Equations
Mathematics
If the roots of the equation (a – b)x2 + (b – c)x + (c – a) = 0 are equal. Then
If the roots of the equation (a – b)x2 + (b – c)x + (c – a) = 0 are equal. Then
MathematicsQuadratic-Equations
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If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q is equal to
If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q is equal to
MathematicsQuadratic-Equations
Mathematics
=
=
MathematicsQuadratic-Equations
Mathematics
The difference of the roots of 2y2 – ky + 16 = 0 is 
. Find k.
The difference of the roots of 2y2 – ky + 16 = 0 is . Find k.
MathematicsQuadratic-Equations
Mathematics
If (x + 2)(x + 4)(x + 6)(x + 8) = 945 and x is an integer, then find x.
If (x + 2)(x + 4)(x + 6)(x + 8) = 945 and x is an integer, then find x.
MathematicsQuadratic-Equations
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Rohan and Sohan were attempting to solve the quadratic equation, x2 – ax + b = 0. Rohan copied the coefficient of x wrongly and obtained the roots as 4 and 12. Sohan copied the constant term wrongly and obtained the roots as -19 and 3. Find the correct roots.
Rohan and Sohan were attempting to solve the quadratic equation, x2 – ax + b = 0. Rohan copied the coefficient of x wrongly and obtained the roots as 4 and 12. Sohan copied the constant term wrongly and obtained the roots as -19 and 3. Find the correct roots.
MathematicsQuadratic-Equations
Mathematics
If the roots of the equation 3ax2 + 2bx + c = 0 are in the ratio 2 : 3, then _____.
If the roots of the equation 3ax2 + 2bx + c = 0 are in the ratio 2 : 3, then _____.
MathematicsQuadratic-Equations
Mathematics
If the roots of the quadratic equation ax2 + bx + c = 0 are α and β, then the equation whose roots are α2 and β2 is _____.
If the roots of the quadratic equation ax2 + bx + c = 0 are α and β, then the equation whose roots are α2 and β2 is _____.
MathematicsQuadratic-Equations
