Linear-algebra Questions Set 6:
The quadratic equation has ______ roots.
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The equation of the form ax2 + bx = 0 will always have _______ roots.
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One root of the equation 5x2 + 2x + Q = 2 is reciprocal of another. What is the value of Q2
Solution:
A polynomial of degree 2 is called ___________ polynomial.
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If 3x2 – ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is :
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Quadratic equation corresponding to the roots 2 + √5 and 2 - √5 is
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Find the product of two consecutive numbers where four times the first number is 10 more than thrice the second number.
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If the discriminant of a quadratic equations is zero, then its roots are ________ and _______.
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The quadratic equations
x2 − 6x + a = 0 and x2 − cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3 . Then the common root is _____
Solution:
A certain number of tennis balls were purchased for Rs.450. Five more balls could have been purchased in the same amount if each ball was cheaper by Rs.15. The number of balls purchased were ______
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