1.) x2 - 15x + 542.) x2 - 8x - 93.) x2 - 10x - 114)x2 - 6x - 161.) x2 - 15x + 54Sol :- General equation ax2 +bx + cx2 - 15x + 54-------------------(1)We can write equation (1) as followsx2 6x-9x+ 54 --------------------(2)in equation no. 2 we have split the -15x in -6x and -9x.Actually we have to find those 2 no. whose multiplication is equal to c where c is 54 and additionequal to b where b is -15. so -6 and -9 seams perfectSo we can write (2) asX*(x-6)-9(x-6){taking x common from x2 -6x and taking -9 common from -9x +54 }Next step taking common x-6 from whole equation.(x-6)*(x-9)Solved.2.) x2 - 8x - 9Sol :- General equation ax2 +bx + cx2 - 8x - 9-------------------(1)We can write equation (1) as followsx2 + x - 9x - 9 --------------------(2)in equation no. 2 we have split the -8x in +x and -9x.Actually we have to find those 2 no. whos ...
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