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x^2 + x^4 = 90
=> x^4 + x^2 - 90 = 0
Let x^2 = a
=> a^2 + a - 90 = 0
=> a^2 + 10a - 9a - 90 = 0
=> a (a +10) - 9( a +10) = 0
=> (a+10)(a-9) = 0
a = - 10 and 9
Neglecting negative value,
a = 9
=> x^2 = 9
=> x = +3 and - 3
=> x^4 + x^2 - 90 = 0
Let x^2 = a
=> a^2 + a - 90 = 0
=> a^2 + 10a - 9a - 90 = 0
=> a (a +10) - 9( a +10) = 0
=> (a+10)(a-9) = 0
a = - 10 and 9
Neglecting negative value,
a = 9
=> x^2 = 9
=> x = +3 and - 3
Answered by
4
Given Equation is x^2 + x^4 = 90
x^2 + x^4 - 90 = 0
x^4 + x^2 - 90 = 0
x^4 - 9x^2 + 10x^2 - 90 = 0
x^2(x^2 - 9) + 10(x^2 - 9) = 0
(x^2 - 9)(x^2 + 10) = 0
Hope this helps!
x^2 + x^4 - 90 = 0
x^4 + x^2 - 90 = 0
x^4 - 9x^2 + 10x^2 - 90 = 0
x^2(x^2 - 9) + 10(x^2 - 9) = 0
(x^2 - 9)(x^2 + 10) = 0
Hope this helps!
siddhartharao77:
:-)
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