Question

If a and B are the roots of the quadratic equation x² - 3x - 10 = 0 l, then find the value of a⁴ + B⁴​

Answer 1

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Answer 2

Answer:

x^2-3x-10=0

=> x^2-5x+2x-10=0

=> x(x-5)+2(x-5)=0

=> (x-5)(x+2)=0

x-5=0

=> x=5

x+2=0

x= -2

so here A=5 and B= -2

A^4+B^4

=(5)^4+(-2)^4

=625+16

=641