f(x) = 2x^(2) +5x-2

asked Mar 6, 2022 175k views

2 votes

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4 votes

Answer:

$f(x) = 2(x + (5)/(4) {)}^(2) - (41)/(5)$

Explanation:

$f(x) = 2 {x}^(2) + 5x - 2$

$f(x) = 2( {x}^(2) + (5)/(2) x) - 2$

$f(x) = 2( {x}^(2) + (5)/(2) x + (25)/(16) ) - 2$

$f(x) + 2 * (25)/(16) = 2( {x}^(2) + (5)/(2) x + (25)/(16) ) - 2$

$f(x) = 2(x + (5)/(4) {)}^(2) - 2 - (25)/(8)$

$f(x) = 2(x + (5)/(4) {)}^(2) - (41)/(5)$

Danny Kitt answered Mar 11, 2022

4.1k points

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