169k views
0 votes
What is the solution to the equation sqrt w^2+7w-39 = sqrt 10w+1 ?

What is the solution to the equation sqrt w^2+7w-39 = sqrt 10w+1 ?-example-1
User Durilka
by
7.7k points

2 Answers

2 votes

Answer:

w=8

Explanation:

answer is d

User Markus Rudel
by
7.9k points
5 votes
square both sides
w^2+7w-39=10w+1
minus (10w+1) both sides
w^2-3w-40=0
factor
what 2 numbers multiply to get -40 and add to get -3
-8 and 5
(w-8)(w+5)=0

set equal to 0

w-8=0
w=0

w+5=0
w=-5


we need to test in the original for extraneious solutions
for x=-5, we get √-49=√-49 which is undefined since you can't do square roots of negatives


w=8 is da soltuion
User Ccleve
by
8.1k points

Related questions

2 answers
0 votes
101k views
1 answer
5 votes
36.5k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.