x2 + 49 = 0 ∴ x2 = -49 ∴ x = 7i
-4 and 4
7
x2 + y2 = 49
x = sq root of 36x = 6x = -6
x2 + 49 = 0 ∴ x2 = -49 ∴ x = 7i
-4 and 4
7
x2 + y2 = 49
x = sq root of 36x = 6x = -6
x2+3=124 x2=121 x= square root(121) x=11
x2 = 49 Square root both sides to find the value of x:- x = 7
x2 + y - 49 = 0At the x-intercepts, y=0:x2 - 49 = 0(x+7)(x-7) = 0x = -7 and x = +7At the y-intercept, x=0:y - 49 = 0y = 49
An equation never equals a number, but its solution often does.-- An equation with a solution of six: [ 3x - 14 = 4 ]-- An equation with a solution of three: [ 14 - 10x = -16 ]-- An equation with both solutions: [ x2 - 9x + 20 = 2 ]An equation that equals 6 is 10 - 4 = 6An equation that equals 3 is 10 - 7 = 3
It will have two solutions because its a quadratic equation: x = -8.472135955 or x = 0.472135955
x2 - 14x = -49 ∴ x2 - 14x + 49 = 0 ∴ (x - 7)2 = 0 ∴ x = 7
For the equation x2- 10x - k equals 0, you can solve this by knowing that if there is only one solution then the discriminant b2 - 4ac must be equal to 0. In this equation, a is 1, b is 10 and c is k This equation becomes 100 - 4k equals 0, and k is 25.