Question

What are the solutions to the quadratic equation below?
x²-2x-168 =0

Answer 1

x= 14, –12

Explanation:

The given question might make you believe that it's difficult due to it's frightening digit (168) but in fact in you use the following methods, it's going to be a pieces of cake.

the delta formula:

Δ=b²–4ac===> (–2)²–4(1)(–168)=676

`x 1 = ( - ( - 2) + √(676) )/(2) = 14`

`x2 = ( - ( - 2) - √(676) )/(2) = - 12`

well this can be on of the methods and the other one is

The full square formula:

`x ^(2) - 2x - 168 = 0 \\ {x}^(2) - 2x = 168`

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now what you need to do is to put this on both side of the equation (½b)²=1

`{x}^(2) - 2x + 1 = 168 + 1 \\ {(x - 1)}^(2) = 169 \\ x - 1 = 13 = = > x = 14 \\ x - 1 = - 13 = = = > x = - 12`