joyu
contestada

HELP!
Consider the below equation:

0.5x-7= sqrt(-5x+29)


Give 2 different ways to show that the equation does not have any solutions. One way must be solving algebraically, and the other way must be by graphing.

Respuesta :

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Given equation:

[tex]\bold{0.5x-7= \sqrt{(-5x+29)}}[/tex]

As in the given question the two ways to solve the equation can be defined as follows:

First way:

Let square the above-given equation then we will get:

[tex]\to (0.5x-7)^2= (\sqrt{(-5x+29)})^2\\\\\to (0.5x)^2 +7^2-2\times 0.5x\times 7= -5x+29\\\\\to 0.25x^2 +49- 7x= -5x+29\\\\\to 0.25x^2 - 7x+5x +49-29=0\\\\\to 0.25x^2 - 2x+20=0\\\\[/tex]

The calculated equation doesn't have any like term that's why it can't be factorised.

Second way:

after calculating the equation that is [tex]0.25x^2-2x+20=0[/tex], it graph is given in attachment please find.

Ver imagen codiepienagoya