Solve the factored quadratic equation (x−5)(x+3)=0 .(1 point) The smaller solution is x= , and the larger solution is x= .
To solve the factored quadratic equation (x−5)(x+3)=0, we can set each factor equal to zero and solve for x:
x - 5 = 0 or x + 3 = 0
If we add 5 to both sides of the first equation, we get:
x = 5
If we subtract 3 from both sides of the second equation, we get:
x = -3
Therefore, the smaller solution is x = -3 and the larger solution is x = 5.
To solve the factored quadratic equation (x−5)(x+3)=0, we will set each factor equal to zero and solve for x.
Setting (x−5) equal to zero:
x−5 = 0
Adding 5 to both sides:
x = 5
Setting (x+3) equal to zero:
x+3 = 0
Subtracting 3 from both sides:
x = -3
Therefore, the smaller solution is x = -3, and the larger solution is x = 5.
To solve the factored quadratic equation (x-5)(x+3) = 0, we can use the zero product property. According to this property, if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.
Setting each factor equal to zero:
x - 5 = 0 and x + 3 = 0
To solve for x, we will isolate x in each equation:
x - 5 + 5 = 0 + 5 and x + 3 - 3 = 0 - 3
This simplifies to:
x = 5 and x = -3
Therefore, the solution to the factored quadratic equation (x-5)(x+3) = 0 is x = 5 and x = -3. The smaller solution is x = -3, and the larger solution is x = 5.