Answer:
x = 19/2 and 1/2
Step-by-step explanation:
General form of a quadratic equation is expressed as:
ax²+bx+c = 0... (1)
The quadratic formula used to find the solution to the equation is given as:
x = -b±√b²-4ac/2a
Given the quadratic trinomial: x²−10x + 4.75... (2)
a) To get a, b and c, we will compare the given equation (2) to the general equation (1)
Based on the comparison,
a = 1, b = -10 and c = 4.75
b) We will substitute this values of a, b and c into the quadratic formula to have;
x = -(-10)±√(-10)²-4(1)(4.75)/2(1)
x = 10±√100-19/2
x = 10±√81/2
x = (10±9)/2
x = (10+9)/2 and (10-9)/2
x = 19/2 and 1/2
The answer to the equation are 19/2 and 1/2
