Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.