SOLUTION: can help me thanks Solving Quadratic Equations by Factoring x�- 6x+5=0

Question 1166398: can help me
thanks
Solving Quadratic Equations by Factoring

x�- 6x+5=0
Found 2 solutions by themasterofcircuits, ikleyn:
Answer by themasterofcircuits(27)   (Show Source): You can put this solution on YOUR website!
We are given the polynomial
In order to factor, we need to come up with two numbers. The two numbers must multiply to 5 and add to -6.
Here, we get -1 and -5. We have that (-1)(-5)=5 and (-1)+(-5)=-6
So, our factorization is
Factor it out, and you'll get the original equation. A solid way to check your work!
Answer by ikleyn(52756)   (Show Source): You can put this solution on YOUR website!
.

This equation has the leading coefficient of 1 at x^2 and integer coefficients.

After getting such an assignment, you should develop a technique/(a methodology) to solve it in 5 seconds mentally.

The sum of the roots must be 6 (the coefficient at "x" with the opposite sign),
and the product of the roots is 5 (the constant term).

Hence, the roots are 5 and 1 (Vieta's theorem).

To develop such a technique, read the lessons
    - Solving quadratic equations without quadratic formula
    - Using Vieta's theorem to solve qudratic equations and related problems
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Quadratic equations".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

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