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If bothx=2 and x=½ are factors …

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If bothx=2 and x=½ are factors of px²+5x+r than p=??

Posted by Akash S 4 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 4 years, 3 months ago

Given, f(x) = px^2+5x+r and factors are x-2, x-1/2

Substitute x = 2 in place of equation, we get

= p*2^2+5*2+r=0

= 4p + 10 + r = 0 ------------ (i)

Substitute x = 1/2 in place of equation.

p/4 + 5/2 + r = 0

p + 10 + 4r = 0 ------------------- (ii)

On solving (i),(ii) we get

4p+r=-10 and p+4r+10=0

4p+r=p+4r

3p=3r

p = r

0Thank You

ANSWER

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CBSE > Class 09 > Mathematics