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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