Answered

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Use the Zero Product Property to find the values of x that make the equation true.(x−4)(2x+5)=0 Show your work on paper, take a picture, then upload it here!

Use The Zero Product Property To Find The Values Of X That Make The Equation Truex42x50 Show Your Work On Paper Take A Picture Then Upload It Here class=

Sagot :

Recall that:

[tex]ab=0[/tex]

if and only if:

[tex]a=0\text{ or b=0.}[/tex]

Therefore:

[tex](x-4)(2x+5)=0,[/tex]

if and only if:

[tex]x-4=\text{ or }2x+5=0.[/tex]

Solving each equation for x, we get:

[tex]\begin{gathered} x-4+4=0+4, \\ x=4, \\ 2x+5=0, \\ 2x=-5, \\ x=-\frac{5}{2}. \end{gathered}[/tex]

Answer:

[tex]x=4,\text{ or }x=-\frac{5}{2}.[/tex]

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