I'm doing solving quadratic equations.I need help with couple of problems. k(k+5)=0,4r^2=100
Sure, I can help you solve these quadratic equations.
1. k(k+5) = 0:
To solve this equation, we can use the zero product property, which states that if a product of two factors equals zero, then at least one of the factors must be zero.
Step 1: Set each factor equal to zero and solve for k:
k = 0 or k + 5 = 0
Step 2: Solve for k in the second equation:
k + 5 = 0
k = -5
So, the solutions to the equation k(k+5) = 0 are k = 0 and k = -5.
2. 4r^2 = 100:
To solve this equation, we need to isolate r.
Step 1: Divide both sides of the equation by 4 to get rid of the coefficient:
4r^2 / 4 = 100 / 4
r^2 = 25
Step 2: Take the square root of both sides of the equation:
√(r^2) = √25
|r| = 5
So, the solutions to the equation 4r^2 = 100 are r = 5 and r = -5.
Remember, when taking the square root, there are both positive and negative solutions since squaring a negative number also results in a positive number.