Question

Find the value of 2"- 2x3 + x²_7x-10; (where x=-2 2 α + 6​

Answer 1

Answer:

Question

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If x

2

−7x+10=0 and x

2

−5x+c=0 have a common root, then find the value of c

Medium

Solution

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Let x=x

1

be the common roots

then,

x

1

2

−7x

1

+10=0 ---- (i)

and x

1

2

−5x

1

+c=0 ---- (ii)

subtracting (ii) from (i)

−7x

1

+5x

1

+10−c=0

c=−2x

1

+10 ----- (iii)

on putting the value of c in (ii)

x

1

2

−7x

1

+10=0

x

1

2

−2x

1

−5x

1

+10=0

x

1

(x

1

−2)−5(x

1

−2)=0

(x

1

−2)(x

1

−5)=0

x

1

=2,5

on putting x

1

=2,5 in equaton (iii), we get

c=6 or c=0

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