144X = X2
144X - X2 = 0
(144 - X)X = 0
X = 0
or
X = 144
x=18
(2x)ysquared
x + (3x - 2) = 14x + 3x - 2 = 144x - 2 = 144x = 16x = 4
You cannot, in general, solve one equation with two unknown variables. x - y = x - x2 Subtract x from both sides: - y = - x2 Change signs: y = x2 And that is as far as you can go.
x2 + 13x = -30 ∴ x2 + 13x + 30 = 0 ∴ (x + 3)(x + 10) = 0 ∴ x ∈ {-3, -10}
x2 = 6482 = 64x = 8
x: x2 - 81 = 0
x=18
(2x)ysquared
Divide both sides of the equation by x: x2 = 9x x2 / x = 9x / x x = 9
x^(2) = 169 x^(2) - 169 = 0 x^(2) - 13^(2) = 0 Factor (x - 13)( x + 13) = 0 Hence x = 13 and -13. Usually shown as x = +/- 13 When factoring squared terms , remeber two squared terms with a NEGATIVE(-) between will factor. However, two squared terms with a positive (+) between them, does NOT factor.
x + (3x - 2) = 14x + 3x - 2 = 144x - 2 = 144x = 16x = 4
You cannot, in general, solve one equation with two unknown variables. x - y = x - x2 Subtract x from both sides: - y = - x2 Change signs: y = x2 And that is as far as you can go.
X2 = k Take square root each side. X = (+/-) sqrt(k) ============
x2 plus 3x plus 3 is equals to 0 can be solved by getting the roots.
x2 + 13x = -30 ∴ x2 + 13x + 30 = 0 ∴ (x + 3)(x + 10) = 0 ∴ x ∈ {-3, -10}
To solve for x: x2 = 11x - 10 x2 - 11x = -10 x2 - 11x + 10 =0 (x - 1)(x - 10) = 0 x = {1, 10)