Question

find the sum and product of the roots of equation 16²-24x+1=0

Answer 1

Step-by-step explanation:





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Class 10

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>>Solutions of Quadratic Equations

>>Find the roots of each of the following

Question



Find the roots of each of the following equation, if they exist, by applying the quadratic formula:

16x2−24x−1=0

Medium

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Solution



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16x2−24x−1=0

Compare given equation with the general form of quadratic equation, which is ax2+bx+c=0

a=16,b=−24,c=−1

Finding discriminant:

D=b2−4ac

=(−24)2−4(16)(−1)

=576+64

=640>0

Roots of equation are real:

x=2a−b±D

x=2⋅16−(−24)±64⋅10 

=2⋅16−(−24)±810 

=43±10

Answer 2

Answer:

16×2=32

32-24=8

8+1=9

9×1=9

9 is tha answer

i m not sure