x2-5x = 24 x2-5x-24 = 0 (x-8)(x+3) = 0 x = 8 or x -3
x2 + 5x - 594 = 0 You need two factors of 594 whose difference by 5. They are 22 and 27. So x = 22 or x = -27
It is, as stated, x2 - 5x + 25/4 = 0
Suppose the number is x. Then x2 = 5x + 24 or x2 - 5x - 24 = 0 Then x2 - 8x + 3x - 24 = 0 or x(x - 8) + 3(x - 8) = 0 that is (x - 8)*(x + 3) = 0 so that x = 8 or x = -3 Since the number is a natural number, it cannot be -3, and so the answer is 8.
The discriminant is 9.
x2-5x = 24 x2-5x-24 = 0 (x-8)(x+3) = 0 x = 8 or x -3
X2 - 5X = 24 X2 - 5X - 24 = 0 (X - 8)(X + 3) X = 8 ----------------and X = - 3 --------------
x2 - 5x = 0x (x - 5) = 0x = 0andx = 5
x2 + 5x + 3 = 9 x2 + 5x - 6 = 0 (x + 6)(x - 1) = 0 x = -6 or x = 1
x2+4x-9 = 5x+3 x2+4x-5x-9-3 = 0 x2-x-12 = 0 (x+3)(x-4) = 0 x = -3 or x = 4
x2 + 4x - 9 = 5x + 3 ∴ x2 - x - 12 = 0 ∴ (x + 3)(x - 4) = 0 ∴ x ∈ {-3, 4}
Ummmm.. x2 = 5x - 6 = 0 is not a valid equation. You have one too many equals signs in there. Perhaps you meant: x2 = 5x - 6 In which case you can find it's roots like so: x2 - 5x + 6 = 0 x2 - 2x - 3x + 6 = 0 x(x - 2) - 3(x - 2) = 0 (x - 3)(x - 2) = 0 So x would equal 2 or three. If that is not the answer you expected, please repost your question in a manner that makes sense.
-x2 + 5x - 4 = 0. Then, x2 - 5x + 4 = (x - 4)(x - 1) = 0; whence, x = 1 or 4. Checking, -1 + 5 - 4 = 0; and -16 + 20 - 4 = 0.
X2 - 5X - 6 = 0 What two factor of - 6 add up to - 5 ?? (X + 1)(X - 6) So, X = - 1 ===
The equation x2 - 5x - 24 = 0 has the two solutions 8 and -3 for x.
x2 + 5x =6 x2+5x -6 = 0 (x+6)(x-1) = 0 x+ 6 = 0 x = -6 x-1 = 0 x = 1
x2 - 5x = 0Factor the left side:x (x - 5) = 0x = 0x = 5