One of the roots of the equation 4x2+bx+c=0 is 0.5. the other is equal to c. find the value of b and c.

The value of b = -3 and c = 0.5

A polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

Given that 0.5 is a root of 4x² + bx + c=0, hence:

4(0.5)² + b(0.5) + c = 0

1 + 0.5b + c = 0

0.5b + c = -1    (1)

Also the other root is c, hence:

4(c)² + b(c) + c = 0

4c² + bc + c = 0

4c + b + 1 = 0

4c + b = -1      (2)

Solving equation 1 and 2 simultaneously gives:

b = -3, c = 0.5

The equation is:

4x² - 3x + 0.5 = 0

Therefore the value of b = -3 and c = 0.5.

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$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: