SOLUTION: Hi, My question is from Chapter 10 Review Exercises 678 #94 Find all real or imaginary solutions to each equation. 49x^2 + 9=42x

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Question 80578This question is from textbook Elementary and Intermediate Algebra
: Hi, My question is from Chapter 10 Review Exercises 678
#94 Find all real or imaginary solutions to each equation.
49x^2 + 9=42x This question is from textbook Elementary and Intermediate Algebra

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
49x%5E2%2B9=42x
First, equate to zero and write it out in ax^2+bx+c form:
49x%5E2-42x%2B9=0
Apply the quadratic formula:
x=42%2B-sqrt%28%2842%5E2%29-%284%29%2849%29%289%29%29%2F%282%2A49%29
Simplify and you can see the discriminant is zero. This means you only have one root to the equation, and leaves you with:
x=42%2F98
You can reduce this:
highlight%28x=3%2F7%29
Good Luck,
tutor_paul@yahoo.com