Solve...
⚠f IoN l B l O o X w
Answers
Step-by-step explanation:
The value of a is \frac{15}{4}
4
15
and b is 9.
Step-by-step explanation:
Given : If f(x)=ax^2-bx+6f(x)=ax
2
−bx+6 and f(2)=3 and f(4)=30.
To find : The value of a and b ?
Solution :
f(x)=ax^2-bx+6f(x)=ax
2
−bx+6
Substitute x=2,
f(2)=a(2)^2-b(2)+6f(2)=a(2)
2
−b(2)+6
3=4a-2b+63=4a−2b+6
4a-2b=-34a−2b=−3 .....(1)
Substitute x=4,
f(4)=a(4)^2-b(4)+6f(4)=a(4)
2
−b(4)+6
30=16a-4b+630=16a−4b+6
16a-4b=2416a−4b=24
4a-b=64a−b=6 .....(2)
Subtract (1) and (2),
4a-b-(4a-2b)=6-(-3)4a−b−(4a−2b)=6−(−3)
b=9b=9
Substitute in (1),
4a-2(9)=-34a−2(9)=−3
4a-18=-34a−18=−3
4a=-3+184a=−3+18
4a=154a=15
a=\frac{15}{4}a=
4
15
Therefore, the value of a is \frac{15}{4}
4
15
and b is 9.
#Learn more
If f(x)=ax^2+bx+2 and f(1)=3, f(4)=42 then find a and b .
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Answer:
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