SOLUTION: [ solve by extracting the root: (x^2)/3 + (5x^2)/2 = -34 ]

Question 822504: [ solve by extracting the root: (x^2)/3 + (5x^2)/2 = -34 ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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(x^2)/3 + (5x^2)/2 = -34
(1/3)x^2 + (5/2)x^2 = -34
(2/6)x^2 + (15/6)x^2 = -34
(17/6)x^2 + 34 = 0
(2.8333333)x^2 + 34 = 0
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the above quadratic equation is in standard form, with a=2.8333333, b=0, and c=34
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2.8333333 0 34
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two complex roots (they are NOT the x-intercepts).
the complex roots are:
x = 0 + (3.46410164)i
x = 0 - (3.46410164)i
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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