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Saturday, June 15, 2024

2024/040) The product of roots of equation 9x^2 - 18 |x| + 5 = 0 is

 Above are roots of equation  9x^2 - 18x + 5 = 0 and  9x^2 - 18x + 5 = 0

the discriminant of of the equations are 18^2 - 4 * 9 * 5 = 324-180 = 144

so roots are real and product of roots of  9x^2 - 18x + 5 = 0 is \frac{5}{9} and same is the product of other equation and so we get overall product  \frac{25}{81}

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