1.

Solve the following quadratic equations : (i) `x^(2)-45x+324=0` (ii) `x^(2)-55x+750=0`

Answer» (i) Given equation is
`x^(2)-45x+324=0`
`impliesx^(2)-(36+6)x-324=0`
`impliesx^(2)-36x-9x+324=0`
`impliesx(x-36)-9(x-36)=0`
`implies(x-36)(x-9)=0`
`{:("Now"" ",x=36=0impliesx=36),(and,x-9=0impliesx=9):}}`
(ii) Given equation is
`x^(2)-55x+750=0`
`impliesx^(2)-(30+25)x+750=0`
`impliesx^(2)-30x-25x+750=0`
`impliesx(x-30)-25(x-30)=0`
`implies(x-30)(x-25)=0`
`{:("Now" ",x-30=0impliesx=30),(and,x-25=0impliesx=25):}}`


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