What equation had the same solution as x^2-14x+6=2

X2-14x-6=0

Two solutions were found:

x = (14-√220) / 2=7-√ 55 = - 0.416

x = (14+√220) / 2=7+√ 55 = 14.416

Step by step solution:

Step 1:

Trying to factor by splitting the middle term

1.1 Factoring x2-14x-6

The first term is, x2 its coefficient is 1.

The middle term is, - 14x its coefficient is - 14.

The last term, "the constant", is - 6

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 6 = - 6

Step-2 : Find two factors of - 6 whose sum equals the coefficient of the middle term, which is - 14.

-6 + 1 = - 5

-3 + 2 = - 1

-2 + 3 = 1

-1 + 6 = 5

Observation : No two such factors can be found!