quadratic equation

ind the roots of the equation x2 – 3x – m (m + 3) = 0, where m is a constant.

• m+3,-m

• -m+3,m

If 1 is a root of the equations ay² + ay + 3 = 0 and y² + y + b = 0, then find the value of ab.

• 3

• 2

Find the value of p so that the quadratic equation px(x – 3) + 9 = 0 has two equal roots.

• 4

• 0

• 1

• 2

Solve for x:
36x² – 12ax + (a² – b²) = 0

Solve the following quadratic equation for x: 9x² – 6b²x – (a⁴ – b⁴) = 0

• a=3

  b=6

• a=-3

  b=-6

• a=3

  b=-6

Find the value of p, for which one root of the quadratic equation px² – 14x + 8 = 0 is 6 times the other

• 1

• 2

• 3

• 4

If -5 is a root of the quadratic equation 2x² + px – 15 = 0 and the quadratic equation p(x² + x) + k = 0 has equal roots, find the value of k.

• 6

• 7

• 8

• 9

Find that value of p for which the quadratic equation (p + 1)x² – 6(p + 1)x + 3 (p + 9) = 0, p ≠ -1 had equal roots.

• 2

• 3

• 4

• 5