If a and b are the roots of the equation 2x² -35x + 2 = 0 , then find the value of (2a - 35)³ ( 2b - 35)³
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★ QUADRATIC RESOLUTION ★
Since a and b are the roots of the equation ,
2a² - 35a = -2 or 2a - 35 = -2/a
Similarly ,
2b - 35 = -2 /b
Now , ( 2a - 35)³ ( 2b - 35)³ =
( -2/a)³ ( -2/b)³ =
8 × 8 / a³b³ =
64 / 1 =
64 [ ab = 1 ]
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Since a and b are the roots of the equation ,
2a² - 35a = -2 or 2a - 35 = -2/a
Similarly ,
2b - 35 = -2 /b
Now , ( 2a - 35)³ ( 2b - 35)³ =
( -2/a)³ ( -2/b)³ =
8 × 8 / a³b³ =
64 / 1 =
64 [ ab = 1 ]
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