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The least value of 7x + 7-x is _____.
If the equation 9x2 + 6kx + 4 = 0 has equal roots, then the value of k must be?
Construct a quadratic equation, whose roots are half of the roots of the equation x2 + 5x + 9 = 0.
A and B are the roots of the equation x2 + bx + c = 0. A2 + B2 = 5 and (A + B)2 = 1.
What is the value of c?
The equation x2 + 4x + k = 0 has real roots. Then.
Twice of the square of the number is 17 more than the square of two more then the number. Find the sum of the digits of the original number.
If x be real. Find the maximum value of 14+ 20x - 10x2.
Mr. David is on tour and he has Rs. 360 for his expenses if he exceeds his tour by 4 days, he must cut down his daily expenses by Rs.3 for how many days is Mr. David out on tour?
A and B attempt to solve a quadratic equation of the form ax2 + bx + c = 0. A starts with a wrong value of b and gets roots as -3 and -5. B starts with a wrong value of c and gets the roots as 6 and 2. Find the correct roots.
If 3x2 + 10x + 8x = 0 has it roots α and β. Find the quadratic equation with roots 1/α and 1/β.
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