The quadratic equation whose one rational root is 3 + √2 is * 1 point
Answers
Answered by
1
Answer:
For the quadratic equation if one root is 2+
3
Other root is 2−
3
Sum of roots=2+
3
+2−
3
=4
Product of roots=(2+
3
)(2−
3
)=4−3=1
∴Quadratic equation is x
2
−4x+1=0
HOPE HELPFUL!!
Answered by
2
Answer:
first root is 3 + √2
then second root be 3 -√2
sum of roots = a+B
= 3 + √2+3 -√2
= 6
product of roots = aB
= (3 + √2)(3 -√2)
= 9-2
= 7
quadratic equation is
x^2 - (sum of roots)x + product of roots =0
x^2 -6x +7 =0
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