Sign In
Ask Question
Mathematics
Abraham Marquez
25 April, 09:23
4x^ (2) = 13x-3 use quadratic formula
+5
Answers (
1
)
Kassidy Palmer
25 April, 11:59
0
The quadratic formula is - b + / - sqrt (b^2-4ac) all over 2a.
First we have to get all the variables on one side so ... Subtract 4x: 0=-4x^ (2) + 13x-3
OR add 3 and subtract 13x: 4x^ (2) - 13x+3=0
Since I prefer a to be positive, I'm going to choose the second equation.
So ... now we just plug and chug. a is the value of the variable squared. In this case a=4. b is the value with the variable, or b=-13. c is the last term. c=3
**Remember: Ax^ (2) + By+C**
Now we just plug everything in.
-b = 13 (negative minus a negative is a positive)
+/-sqrt ((-13) ^ (2) - 4 (4) (3))
all over 2 (4)
So work with the radical first.
(-13) ^2=169
4 (4) (3) = 48
+/-sqrt (169-48)
+-sqrt (121)
sqrt (121) = 11
Now it's just: (13+/-11) / 2 (4)
(13+/-11) / 8
Split this into two equations:
(13+11) / 8
(13-11) / 8
Solve both: 24/8=3
2/8=1/4
So x = 3, 1/4
Plug them back in and see if there's one solution or two:
4 (3) ^2=13 (3) - 3
36=36
So x=3.
How about 1/4?:
4 (1/4) ^2=13 (1/4) - 3
4 (1/16) = 13/4-3
4/16=13/4-3
1/4=13/4-3
1/4=13/4 - (3x4) / (1x4) * Like denominators to add or subtract*
1/4=13/4-12/4
1/4=1/4.
So x=1/4.
In this case, both answers work. So the answer, using the quadratic formula is x=1/4, x=3
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“4x^ (2) = 13x-3 use quadratic formula ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
What is one fifth divided by 6
Answers (1)
Wally's pastry shop baked the following numbers of cookies each week: week 1: 1850 week 2: 1500 week 3: 1475 week 4: 1700 week 5: 1650 week 6: 1800 what is the range of the data?
Answers (1)
jason bought a soft drink for 4 and 6 candys bar he spent a total of 28 dollars how much did each candy bar cost?
Answers (1)
Ups pays 22 an hour. If a driver works 40 hours per week. How much did they make in a week? Month? Year?
Answers (1)
One variable miner equation an inequalities 10-T=5
Answers (1)
New Questions in Mathematics
Solve each system of linear equations by substitutions. X+2y = 6 x-y=3
Answers (1)
The ratio of cars to trucks in a parking lot is 8 to 5 trucks. There are 25 trucks in parking lot. How many total cars and trucks are in the parking lot?
Answers (1)
Factor of 8and12 is 24 Do you aggre
Answers (1)
A chemist mixes 175 millilters of solution that is 62% acid with 75 milliliters of pure acid. What percentage of the resulting Mixture is acid
Answers (1)
What do you remember about the difference between a centimeter and an inch (which one is greater and where they are used) ? What kind of measure do these two units represent and how would you convert 10 centimeters into inches?
Answers (1)
Home
»
Mathematics
» 4x^ (2) = 13x-3 use quadratic formula
Sign In
Sign Up
Forgot Password?