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Solving Division Equation Involving Fractions
Published on April 11, 2025
Algebra
Solve the equation involving division of fractions and find the value of X.
Shares
Published on April 11, 2025
Solve the equation involving division of fractions and find the value of X.
The solutions to the equation \sqrt{5x^2-6x+8} - \sqrt{5x^2-6x-7} = 1 are x = 4 and x = -14/5.
The solution to the system of linear equations is x = 1, y = -2, z = 3, and w = 2.
Given a^2 - 4 = 0, the possible values for a are 2 and -2. Substituting these values into a^3 - 4, we find that a^3 - 4 can be either 4 or -12.
The equation represents an ellipse centered at (-2, 0) with a vertical major axis of length 4 and a horizontal minor axis of length 2.
The solution to the equation \sqrt{(X - 4)(X + 4)} = 3 is X = 5 and X = -5.
The solution involves finding the values of a and b, given a*a = 8 and a*b = 24. Then, b*b is calculated, resulting in a final answer of 72.
Cramer's rule is used to solve a system of four linear equations with four unknowns, resulting in the values of x1, x2, x3, and x4.
The square root of 19 squared plus 19 plus 20 is calculated to be 20.
To find (a+b)^2, given a^2 + b^2 = 29 and ab = 10, substitute the given values into the equation (a+b)^2 = a^2 + 2ab + b^2, resulting in (a+b)^2 = 49.
The only real solution to the cubic equation a^3 + a^2 - 36 = 0 is a = 3.