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anemone
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Find all real solutions of the equation $(2x+1)(3x+1)(5x+1)(30x+1)=10$.
anemone said:Find all real solutions of the equation $(2x+1)(3x+1)(5x+1)(30x+1)=10$.
The first step in solving this equation is to expand the expression using the FOIL method (First, Outer, Inner, Last).
To determine if there are real solutions, we can use the discriminant formula. In this case, the discriminant is equal to 901, which is greater than 0, indicating that there are two real solutions.
Yes, you can use the quadratic formula to solve this equation. However, since this is a quartic equation (degree 4), it may be easier to use other methods such as factoring or grouping.
There is no specific order in which you need to solve this equation. However, it may be helpful to rearrange the terms so that the equation is in standard form (ax^4 + bx^3 + cx^2 + dx + e = 0) before attempting to solve it.
Since this is a quartic equation, we can expect a maximum of four solutions. However, it is possible for some of the solutions to be complex numbers instead of real numbers.