If a and b are the roots of x + 7x + 10 = 0 find the value of a^4 + b^4
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Answered by
1
Answer:
Let α be the common root.
∴α
2
−7α+10=0 ...(1)
and ∴α
2
−10α+16=0 ...(2)
Subtracting (2) from (1)
∴(α
2
−7α+10)−(α
2
−10α+16)=0−0
∴3α−6=0
∴α=2
Answered by
4
+7x+10=0
+2x+5x+10=0
x(x+2)+5(x+2)=0
(x+5)(x+2)=0
a= -5 and b= -2
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