Question

If x = -5 + 2√-4, then find the value of x⁴ + 9x³ + 35x² - x + 4.

Answer 1

Squaring both sides, we get

x² + 10x + 25 = -16 ⇒ x² + 10x + 41 = 0

Now,

X² + 10x + 41 = 0

⇒ x² + 9x³ + 35x² - x + 4 = 0 - 160 = -160

Hence, the value of given expression is −160.

Comments

nice brother me ise long method se kiya thnx for this soln

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Bro hamare school mein hame cubic and biquadratic polynomials ko nhi sikhaya gya in 10th but 11th mein uske questions ha Rd sharma mein kya ye question ayega mere half yearly exam mein??

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Are wow me Boht dhundha lekin proper explanation ke sath nahin milaa

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Great answer never seen one like this