Given that the equation `3x^2+2x-8=0` has two distinct solutions, what is the value of the smaller solution subtrated from the larger solution?

Given that the equation (3x + 2)k + 5 = 12x + 7 m has infinte solutions, what is the value of (k+ m) ?

If the equation 4x^2- 5x + k = 0 has two equal solutions. Find the value of k.

If x^2 + kx + k =0 has two distinct real solutions, then the value of k will satisfy:

If the equation 3 - x = sqrt((x^2) - 15) has an extraneous solution, what is the extraneous solution ?

Find the values of a for which the equation x^(4)+(1-2a)x^(2)+a^(2)-1=0(A) has no real solutions (B) has one real solution (C) has two distinct real solutions (D) has three real solutions(E) has four distinct real solutions

The pairs of equations 4x-2y+6=0 and 2x-y+8=0 has………solutions.

The equation log_(x^(2))16+log_(2x)64=3 has (a) one irrational solution (b) no prime solution two real solutions (d) no integral solution

If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to