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| Equations reducible to quadratic form |
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| Equations of the form |
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| In such equations, put xn = t then the equation reduces to
at2 + bt + c = 0. |
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| Solve for t and then obtain the value of x. |
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| Equations of the form |
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| In these equations, put mx = t so that the equation takes the form |
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| Solving for t and then obtain the value of x. |
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| Equations of the form |
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| In such equations, multiply by x throughout to obtain the form
Ax2 + Bx + C = 0. |
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| Now these equations can be solved for x. |
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| (x + a)(x + b)(x + c)(x + d) = 0 |
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| In such equations, if the sum of any two constants a, b, c, d is equal to |
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| sum of the other two, then such pairs are multiplied and solve them |
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| if a+b = c+d = m then, |
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| Now put x2 + mx = t then, (t + ab)(t + cd) + k = 0. |
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| This can be solved for t and then obtain the value of x. |
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| Equations of the type |
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| This equation can be solved by squaring both the sides. |
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| This equation is solved by equating both sides, rearranging and squaring again. |
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