factorise the following 6x square + 35xy - 6y square
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Answered by
1
(6x-1)(x+6) =0
x=1/6 and x=-6
Answered by
2
Answer:
( 6x - y ) ( x + 6y )
Step-by-step explanation:
The discriminant is
35² - (4)(6)(-6) = 1225 + 144 = 1369 = 37²
so the roots are
( -35 ± 37 ) / (2)(6)
= -72 / 12 and + 2 / 12
= -6 and 1/6
This gives
6x² + 35xy - 6y²
= 6 ( x - y/6 ) ( x + 6y )
= ( 6x - y ) ( x + 6y )
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