document.write( "Question 33053: x squared + 12x = 27 \n" ); document.write( "
Algebra.Com's Answer #19539 by priya(51)![]() ![]() ![]() You can put this solution on YOUR website! R U SURE THE EQUATION IS X^2+12X =27,\r \n" ); document.write( "\n" ); document.write( "I think the question should be x^2 +12 x = -27 or \n" ); document.write( " x^2 -12x = 27.. \n" ); document.write( " \n" ); document.write( " if this right ...herez the answer,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First re-arrange the question in standard equation format.. \n" ); document.write( " that is, x^2+12x= -27\r \n" ); document.write( "\n" ); document.write( "as x^2 +12x + 27 =0( when u bring the 27 from the right of the equation to the left u've to change it's sign,hence -27 becomes +27)\r \n" ); document.write( "\n" ); document.write( "then there is a short cut to find the value of x.\r \n" ); document.write( "\n" ); document.write( "if the equation is in the standard form like x^2+ (y)x + c = 0, where y is the co-efficient of x and c is an independent number., \n" ); document.write( "then \n" ); document.write( "find 2 numbers that gives \"c\" as product(that is when u multiply the numbers that would give u \"c\"),and the addition of the same 2 numbers gives the co-efficient of x(here y). \n" ); document.write( " so here ...for 27,the multiples are 1*27,3*9,9*3 \n" ); document.write( "now 1. take the first 2 numbers 1 & 27,when u add it does it give the co-efficient of x(here 12) no.. \n" ); document.write( "2.so go to the next set of numbers- 3 & 9 \n" ); document.write( "when u multiply these 2 numbers,it gives u 27 and when u add it ,it gives u 12(co-efficient of x).\r \n" ); document.write( "\n" ); document.write( "so the numbers are 3 & 9. \n" ); document.write( "so u've to write the numbers as (x+3)(x+9)= 0,therefore the values of x= -3 and -9.. \n" ); document.write( " |