arcsin-x-2-3-arcsin-x-2-3x-4-x-

Question Number 207272 by hardmath last updated on 10/May/24

\arcsin (x^{2} - 3) = \arcsin (x^{2} + 3 x + 4)

x = ?

Commented by mr W last updated on 10/May/24

n o s o l u t i o n! s i n c e x^{2} + 3 x + 4 ⩾ 1.75 > 1 .

Commented by Frix last updated on 11/May/24

But the equation is true for x = - \frac{7}{4} with

lhs = rhs = \arcsin \frac{22}{9} = \frac{π}{2} - i \ln \frac{22 + \sqrt{403}}{9}

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