if x, B are roots of artha+C =0 cto Then find the
values of the following interns as a, b,
ij
TI
B
Q.2+
82
Answers
Answer:
i think 45is the answer don't know if it is right
Step-by-step explanation:
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Answer:
a, b
Step-by-step explanation:
If a quadratic equation is defined as ax^2+bx+c=0ax
2
+bx+c=0 and α and β are roots, then
\alpha +\beta=\frac{-b}{a}α+β=
a
−b
....(1)
\alpha \times \beta=\frac{c}{a}α×β=
a
c
.... (2)
The given equation is
x^2+ax+b=0x
2
+ax+b=0
The a and b are roots of quadratic equation. Using equation (1) we get
a+b=\frac{-a}{1}a+b=
1
−a
a+b=-aa+b=−a
2a+b=02a+b=0 ... (3)
Using equation (2), we get
a\times b=\frac{b}{1}a×b=
1
b
ab-b=0ab−b=0
b(a-1)=0b(a−1)=0
Equate each factor equal to 0.
b=0b=0
a=1a=1
If b=0, then by equation (3) a=0.
If a=1, then by equation (3) b=-2.
Therefore the value of a and b are either a=0,b=0 or a=1, b=-2.