The given expression is a quadratic equation. To simplify it, we can factorize it or find its roots using the quadratic formula.
The expression is:
√(2x^2 - 3x - 5)
To factorize the expression, we need to find two numbers that multiply to -10 (product of the coefficients of x^2 and the constant term -5) and add up to -3 (coefficient of x).
The numbers are -5 and 2 because -5 * 2 = -10 and -5 + 2 = -3.
Now we rewrite the equation as:
√2x^2 + 2x - 5x - 5
Taking out common factors from the pairs, we get:
= √(2x(x + 1) - 5(x + 1)) = √(2x - 5)(x + 1)
Therefore, the simplified expression is √(2x - 5)(x + 1).
The given expression is a quadratic equation. To simplify it, we can factorize it or find its roots using the quadratic formula.
The expression is:
√(2x^2 - 3x - 5)
To factorize the expression, we need to find two numbers that multiply to -10 (product of the coefficients of x^2 and the constant term -5) and add up to -3 (coefficient of x).
The numbers are -5 and 2 because -5 * 2 = -10 and -5 + 2 = -3.
Now we rewrite the equation as:
√2x^2 + 2x - 5x - 5
Taking out common factors from the pairs, we get:
= √(2x(x + 1) - 5(x + 1))
= √(2x - 5)(x + 1)
Therefore, the simplified expression is √(2x - 5)(x + 1).