Form the quadratic equations whose roots are 7+√3 and 7-√3.
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Answer:
x²- 14x + 46 =0
Step-by-step explanation:
Gn: the roots are 7+√3 , 7-√3
Sum of the roots = 7+√3 + 7-√3
= 14.
Product of the roots = 7+√3 ×7-√3
= 49-3
= 46.
The required equation is
x² - ( sum of the roots )x + ( product of the roots ) = 0
x² - 14x + 46 = 0
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