x^2-49=0 I know the answer is 7,-7 but I am not able to get that. please show me the steps so I can see what I am missing thank you

x^2-49=0 I know the answer is 7,-7 but I am not able to get that. please show me the steps so I can see what I am missing thank you

x2 - 49 = 0

Easiest solution:

x

^{2}= 49 [Add 49 to both sides]√x

^{2}= √49 [Take the square root of both sides]x = ±7

Using quadratic formula:

-(b/2a)±[b

^{2}-4ac]^{1/2}/2a [for ax^{2}+bx+c=0]Your equation is (1)x

^{2}+ (0)x + (-49) = 0so a=1, b=0, c=-49. Plugging them into the quadratic formula:

-(0/2)±[0

^{2}-4(1)(-49)]^{1/2}/20 ± [4*49]

^{1/2}/2± (2*7)/2

x = ±7