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in the quadratic equation (2x+3)²=2x, what is the linear term ​

Sagot :

AGboiigo

QUESTION

in the quadratic equation (2x+3)²=2x, what is the linear term.

SOLUTION

[tex]\: \implies \: (2x + 3)^{2} = 2x[/tex]

[tex] \: \implies(2x + 3)(2x + 3) = 2x[/tex]

[tex] \implies \: 4 {x}^{2} + 6x + 6x + 9 = 2x[/tex]

[tex] \implies \: 4 {x}^{2} + 12x + 9 = 2x[/tex]

[tex] \implies \: 4x^{2} \green{+ 12x - 2x} + 9 = 0[/tex]

[tex] \implies \: 4 {x}^{2} + \green {10x} + 9 = 0[/tex]

ANSWER

[tex] \: \: \: \: \: \: \: \: \: \large \green {\: {\boxed {\tt \: 10x}}}[/tex]

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