Math, asked by aungkyawthuitmo, 1 month ago

If the equation ax^4 + x^3 - x^2 + 3x + 2 = 0 and ax^4 - x^2 + 3x + 1 = 0 have a common root, then find the value of a.

Answers

Answered by cjsdnjvmmmmmmmmmmmm
1

Answer:

6

Solution

x2−3x+b=0 ……(1)

Let the roots are α+β.

x3−4x2+qx+0……(2)

One root of the equation is zero and other root is repeated

then roots are 0,β,β, then

Sum of roots 2β=4

∴β=2

α+β=3 by equation (1)

∴α=1

∴b=αβ=2

q=0β+β2+β0=β2=4

∴(b+q)=(2+4)=6

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