how to factorise x^2-22x+117
Answers
Step-by-step explanation:
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( 1 ) . if we multiply the two terms to get 117 is ( 9 × 13 ) . if we add the two terms means ( 9 + 13 ) we have to get the middle term in the equation ( 22 ) . now find what is the symbol is front of x coefficient means ( 22 ) . ( - ) is the symbol , front of 22x .
( 2 ) . now substitute the x coefficients in the 22x value means ( - 9x - 13x ) . we add symbol ( - ) because the symbol of front 22x is ( - ) . so we add . we have to add the terms to get 22 . our formula is ( - )×( - ) = + . so we put -9 and -13 .
( 3 ) . we have common it .
x^2 - 9x - 13x + 117 = 0
x ( x - 9 ) -13 ( x - 9 )
( x - 13 ) = 0 ( or ) ( x - 9 ) = 0 .
x × x = x^2 so put 1 x inside the bracket put another 1 x outside the bracket . now x is common . in x table we can cancel the x but not 9 so put it as tease . there is only 1 x . so put x inside the bracket . now -13 is common . there -13 and in up is +117 . ( + ) × ( - ) = - . now place ( - ) after x . then 117 is divisible by 13 . then we get ( x - 9 ) .
( 4 ) . finally we get
( x - 13 ) and ( x - 9 )
