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x²-6x+5=0. Solve for 0 using the equation.

Sagot :

Answer:

x=5, x=1

Step-by-step explanation:

This equation can easily be solved by factoring.

To factor, we must find 2 numbers that multiply to 5 and add to -6.

After some thought, we can find that these numbers are -5 and -1

So we can factor this equation to be:

(x-5)(x-1)=0

Now we know that if either of these smaller equations equals 0, then the whole thing equals zero, allowing us to set up 2 different equations:

x-5=0

x-1=0

We can add on both sides to get:

x=5, x=1