Express 2x²+8x+3
in the form of 2( x + p )² + q
Subject: Completing the square - Maths
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Answers
Answered by
72
Answer:
2x^2 + 8x + 3 in 2( x + 2 )^2 + q form is 2( x + 2 )^2 - 5.
Step-by-step explanation:
= > 2x^2 + 8x + 3
= > 2( x^2 + 4x ) + 3
= > 2( x^2 + 4x + 4 - 4 ) + 3
= > 2( x^2 + 4x + 4 ) - 2( 4 ) + 3
= > 2{ x^2 + 2( 2 × x ) + 2^2 } - 2( 4 ) + 3
= > 2( x + 2 )^2 - 8 + 3
= > 2( x + 2 )^2 - 5
Thus,
2x^2 + 8x + 3 in 2( x + 2 )^2 + q form is 2( x + 2 )^2 - 5.
Answered by
48
Answer:
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