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        <div id="content-top1">Page 14 - 10-Math-1 QUADRATIC EQUATIONS</div>
        <div id="content-top2">P. 14</div>
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    <pre style="white-space:pre-line"><code>11. .QQuuaaddrraatitcicEEqquuaatitoionnss                                                    eeLleeaarrnn..Ppuunnjjaabb

                                           or 3x + 7 = 4x2 + 12x + 9
                                           Simplifying the above equation, we have 4x2 + 9x + 2 = 0
                                           Applying quadratic formula,

                                                                                  Note : Extraneous root

                                                                               is introduced either by

                                                                               squaring the given

                                                                               equation or clearing it

                                           Checking: 1                         of fractions.

                                           Putting x = - 4 in the equation (i), we have

                                           which is true.
                                           Putting x = -2 in the equation (i), we get

                                                                                      which is not true.
                                           On checking, we find that x = -2 does not satisfy the equation (i),
                                           so it is an extraneous root. Thus the solution set is

                                           1.5 (ii) Equations of the type x + a + x + b = x + c

                                           Example 2: Solve the equation

                                           Solution:                      (i)

                                           Squaring both sides of the equation (i), we have

Version 1.1                                Squaring both sides of the equation (ii), we get
                                           4(x2 + 9x + 18) = x2 - 4x + 4
                                           	 	 or	 3x2 + 40x + 68 = 0
                                           Applying quadratic formula, we get

                                                                              14</code></pre>
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