Solving for x in 0=−(4.90 m/s^2)t^2 -(8.00 m/s)t + 30m

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The equation 0=−(4.90 m/s^2)t^2 -(8.00 m/s)t + 30m is a quadratic equation that needs to be solved for time, t. The coefficients for the quadratic formula are identified as a = -4.90, b = -8.00, and c = 30. The discussion highlights that the determinant is positive, indicating two distinct real roots for t. A clarification is provided on calculating the determinant, confirming it yields a real number. The conversation emphasizes the use of the quadratic formula to find the solutions for t.
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Homework Statement



0=−(4.90 m/s^2)t^2 -(8.00 m/s)t + 30m
i am asked to solve for x but having problems

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The Attempt at a Solution

 
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There's no "x" in the equation, but if you are solving for "t", use the quadratic equation.
 
k thanks but I am still kind of stuck is -8.00t b and -4.90 a and 30 c. for the quadratic formula
 
The determinant of the second degree equation is positive, which thereby yields two distinct real roots.
 
im sorry but can u explain that simplier
 
Well, the thing inside the radical sign, it is positive, sqrt((-8.00)^2-4*(-4.90)(30))=sqrt(652), which is real.
 
thanks a bunch
 

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