Can you help me check if I'm doing this correctly or not?
I'm solving this quadratic equation by us ing the quadratic equation.
-9v^2+35v-30=1-v
-9v^2+36v-29=0
-36 ± √36^2-4(-9)(29) divided by 2(-9)
-35 ± √1296 + 1044 divided by -18
-36 ± √2340 divided by -18
^ that is my final answer :x am I correct?
In google type:
quadratic equation online
When you see list of results click on:
Free Online Quadratic Equation Solver:Solve by Quadratic Formula
When page be open in rectangle type:
-9v^2+35v-30=1-v
and click option: solve it!
You wil see solution step-by-step.
To check whether you have solved the quadratic equation correctly, let's solve it step by step and compare the process:
First, let's rewrite the equation:
-9v^2 + 35v - 30 = 1 - v
Next, let's move all terms to one side so that the equation is set equal to zero:
-9v^2 + 36v - 31 = 0
Now, let's use the quadratic formula to solve for v:
v = (-b ± √(b^2 - 4ac)) / (2a)
For your equation, a = -9, b = 36, and c = -31. Substituting these values into the quadratic formula:
v = (-36 ± √(36^2 - 4(-9)(-31))) / (2(-9))
v = (-36 ± √(1296 - 1116)) / (-18)
v = (-36 ± √180) / (-18)
Now, let's simplify the square root:
v = (-36 ± √(36 * 5)) / (-18)
v = (-36 ± 6√5) / (-18)
Finally, let's simplify the expression:
v = (36 ± 6√5) / 18
v = 2 ± √5
From the above simplification, it seems like you made a mistake in your calculations. The final answer is v = 2 ± √5.