Chapter 9.1, Problem 8PSA

a

To determine

To calculate: The Value of xin the given expression i.e. $x^2-4x=0$

Answer to Problem 8PSA

Values of x are $0$ and $4$ .

Explanation of Solution

Given information:$x^2-4x=0$

Calculation: $x^2-4x=0$

  $\Rightarrow x(x-4)=0$

  $\Rightarrow x=0$ and $x-4=0$

  $\Rightarrow x=0$ and $x=4$

b

To determine

To calculate: The Value of xin the given expression i.e. $x^2-2x=11x$

Answer to Problem 8PSA

Values of x are $0$ and $13$ .

Explanation of Solution

Given information:$x^2-2x=11x$

Calculation: $x^2-2x=11x$

  $\begin{array}{l}\Rightarrow x^2-2x-11x=0\\ \Rightarrow x^2-13x=0\\ \Rightarrow x(x-13)=0\end{array}$

  $\Rightarrow x=0$ and $x-13=0$

  $\Rightarrow x=0$ and $x=13$

c

To determine

To calculate: The Value of xin the given expression i.e. $x^2=10x$

Answer to Problem 8PSA

Values of x are $0$ and $10$ .

Explanation of Solution

Given information:$x^2=10x$

Calculation: $x^2=10x$

  $\begin{array}{l}\Rightarrow x^2-10x=0\\ \Rightarrow x(x-10)=0\end{array}$

  $\Rightarrow x=0$ and $x-10=0$

  $\Rightarrow x=0$ and $x=10$

d

To determine

To calculate: The Value of xin the given expression i.e. $5x=x^2-3x$

Answer to Problem 8PSA

Values of x are $0$ and $8$ .

Explanation of Solution

Given information:$5x=x^2-3x$

Calculation: $5x=x^2-3x$

  $\begin{array}{l}\Rightarrow x^2-3x-5x=0\\ \Rightarrow x^2-8x=0\\ \Rightarrow x(x-8)=0\end{array}$

  $\Rightarrow x=0$ and $x-8=0$

  $\Rightarrow x=0$ and $x=8$