How do you solve w26w+9=13?

2 Answers
Nov 3, 2016

w=3±13

Explanation:

Given:

w26w+9=13

Note that the left hand side is already a perfect square trinomial, so we have:

(w3)2=13

Taking the square root of both sides, allowing for both possible square roots, we have:

w3=±13

Then add 3 to both sides to get:

w=3±13

Nov 3, 2016

w=3±13

Explanation:

w26w+9=13
Rearrange
w26w4=0
Either use the formula w=b±b24ac2a
Where aw2+bw+c=0
w=6±364142
w=6+36+162 or w=636+162
w=6+522=3+13
Or
w=313

The other way is completing the square ( which is how the formula is derived)
w26w4=0
(w3)2=w26w+9
So w26w4 can be written (w3)213=0
(w3)2=13
Take the square root of both side
w3=±13
w=3±13