SOLUTION: Please help me solve this problem.
1. Type an exact answer, using radicals as needed. Rationalize all denominators. use a comma to seperate answeres as needed.
15x^4-8x^2+1
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Quadratic Equations and Parabolas
-> SOLUTION: Please help me solve this problem.
1. Type an exact answer, using radicals as needed. Rationalize all denominators. use a comma to seperate answeres as needed.
15x^4-8x^2+1
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Question 268967: Please help me solve this problem.
1. Type an exact answer, using radicals as needed. Rationalize all denominators. use a comma to seperate answeres as needed.
15x^4-8x^2+1=0 Found 3 solutions by stanbon, Alan3354, psbhowmick:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Type an exact answer, using radicals as needed. Rationalize all denominators. use a comma to seperate answeres as needed.
15x^4-8x^2+1=0
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Think of two numbers whose product is 1*15 = 15
and whose sum is -8.
The numbers are -5 and -3
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Change the middle term of your problem to -5x-3x
15x^2-5x-3x+1 = 0
Factor the 1st 2 and the last two terms separately:
5x(3x-1)-(3x-1) = 0
Factor again:
(3x-1)(5x-1) = 0
Solve for "x":
x = 1/3 or x = 1/5
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cheers,
Stan H.
You can put this solution on YOUR website! 15x^4-8x^2+1=0
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It's a quadratic in x^2
Use the quadratic eqn:
x^2 = 1/5, 1/3
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x = +/- sqrt(5)/5
x = +/- sqrt(3)/3
Cartoon (animation) form: For tutors: simplify_cartoon( 15*z^2-8*z+1=0 )
If you have a website, here's a link to this solution.
DETAILED EXPLANATION
Look at . Equation is a quadratic equation: 15*z^2-8*z+1 =0, and has solutions 0.333333333333333,0.2 It becomes . Result: This is an equation! Solutions: z=0.333333333333333,z=0.2.
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