If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are
X4 + 2x3 + ax2 + bx + 9 is perfect Square. ⇒ we know that (a+b+c)2 = a²+b²+C²+2ab+2bc+2ca ⇒ if we take a = x², b = x, c = 3 and put all three values in formula's we get ⇒ (x2+x+3)2 = x4+x²+9+2x3+6x +6x2 ⇒ x4 +7x2 +2x3 +9 +6x ----- (2) Compare eq (2) with Given eq we get ⇒ a = 7 and b = 6
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No status is a menu.
All titles are status.
Conclusions: All menus being tools is a possi...
Statement:
All cups are bowls.
All bowls are trays.
Some trays are plates.
Conclusion:
I. Some trays are cups.
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90% English is Hindi
None of Hindi is Commerce
Only a few Commerce is Science
Conclusions:
I) Som...
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Some tigers are lion.
Only a few lion are zebra.
No zebra is bear.
All bears are fox.
Conclusions: <...
Statements:
Only Tool is Screw
Some Tool is Nut
All Nut are Bolt
Conclusions:
I. All Nut can be Tool
II. All Screw can Bolt
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Some water is liquid.
Some liquid is milk.
No ice is milk.
Conclusions:
I. Some water is milk.
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Only a few Adidas are Nike
All Nike are Puma
No Nike is a Reebok
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I. All Puma being ...
Statements:
At least Some Reds are Blue.
47% Blue are not Green.
All Greens are Orange.
Conclusions:
I). Some Blues a...
Statements:
Some pen is pencil
Only a few pencils is mobile
No mobile is laptop
Conclusions:
I) Some laptop...
Statements: All letters are digits.
No number is a digits.
Some words are...
