Equation 46771

Insert three numbers between the roots of the equation 4x2 - 17x + 4 = 0 so that they form with the given GP numbers

Correct answer:

a =  0.5
b =  1
c =  2

Step-by-step explanation:

4x217x+4=0  4x217x+4=0  a=4;b=17;c=4 D=b24ac=172444=225 D>0  x1,2=2ab±D=817±225 x1,2=817±15 x1,2=2.125±1.875 x1=4 x2=0.25   Factored form of the equation:  4(x4)(x0.25)=0 s=x1/x2=4/0.25=16 q=s1/4=416=2  a=x2 q=0.25 2=0.5

Our quadratic equation calculator calculates it.

b=q a=2 0.5=1
c=q b=2 1=2  Verifying Solution:   e=q c=2 2=4



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