Question

What should be the value of a, if the value of 2 x 2 + 6 a – 5 x + 10 is 25 , when x = 1?

Answer 1

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Given, $2x^{2} \:+ \:6a \:- \:5x \:+ \:10 \:= \:25$

Substituting the value of x = 1 in the above equation, we get,

$2(1)^{2} \:+ \:6a \:- \:5(1) \:+ \:10 \:= \:25$

$>> \:2 \:+ \:6a \:- \:5 \:+ \:10 \:= \:25$

$>> \:6a \:+ \:7 \:= \:25$

$>> \:6a \:= \:25 \:- \:7 \:= \:18$

$>> \:a \:= \:3$

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Answer 2

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Refer the attachment.