Let `a,b and c` be real numbers such that `4a+2b+c=0 and ab lt 0`.Then the equation `ax^2+bx+c=0`.

Let a, b and c be real numbers such that 4a + 2b + c = 0 and ab gt 0. Then the equation ax^(2) + bx + c = 0 has

Let a, b, c be real numbers with a = 0 and let alpha,beta be the roots of the equation ax^2 + bx + C = 0 . Express the roots of a^3x^2 + abcx + c^3 = 0 in terms of alpha,beta

Let a ,b ,c be real numbers with a!=0a n dl e talpha,beta be the roots of the equation a x^2+b x+c=0. Express the roots of a^3x^2+a b c x+c^3=0 in terms of alpha,betadot

Suppose a,b and c are real numbers such that a/b gt 1 and a/c lt 0 . What one of the following is true ?

Let a ,b and c be real numbers such that a+2b+c=4 . Find the maximum value of (a b+b c+c a)dot

If a , b , c are positive numbers such that a gt b gt c and the equation (a+b-2c)x^(2)+(b+c-2a)x+(c+a-2b)=0 has a root in the interval (-1,0) , then

If a,b and c are distinct positive real numbers in A.P, then the roots of the equation ax^(2)+2bx+c=0 are

If a ,b ,c ,d are positive real umbers such that a+b+c+d=2 ,then M=(a+b)(c+d) satisfies the relation (a) 0lt=Mlt=1 (b) 1lt=Mlt=2 (c) 2lt=Mlt=3 (d) 3lt=Mlt=4

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then