Final answer:
To find the equivalent equation, we can multiply both sides of the equation by -1 to change the sign of each term: x^2+9x+8=0.
Step-by-step explanation:
The given equation is -x^2-9x-8=0. To find the equivalent equation, we can multiply both sides of the equation by -1 to change the sign of each term:
Equivalent Quadratic Equation
The given equation is -x^2 - 9x - 8 = 0. To find an equation equivalent to this, we can either factor it, if possible, complete the square, or use the quadratic formula. The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a), where a, b, and c are coefficients in the standard form of a quadratic equation, ax^2 + bx + c = 0. For the given equation, a = -1, b = -9, and c = -8. Plugging these into the quadratic formula, we can find the equivalent equation or the values of x that satisfy the equation.
x^2+9x+8=0
Therefore, the equation that is equivalent to -x^2-9x-8=0 is x^2+9x+8=0.