Chapter 9, Problem 1RP

To determine

The value of the $a$ , $b$ and $c$ from the given quadratic equation.

Answer to Problem 1RP

Solution: The value of $a$ , $b$ and $c$ from the given quadratic equation is $14$ , $3$ and $-16$ respectively.

Explanation of Solution

Given: The given quadratic equation is $9x^2+3x=-5x^2+16$ .

Calculation:

To write the standard form of the given equation, shift all the terms on left hand side.

  $\begin{array}{l}9x^2+3x=-5x^2+16\\ 9x^2+5x^2+3x-16=0\\ 14x^2+3x-16=0\end{array}$ ...... (1)

Compare the equation (1) with the standard form of the quadratic equation i.e. $a{x}^2+bx+c=0$ .

The value of $a$ , $b$ and $c$ from the given quadratic equation is $14$ , $3$ and $-16$ respectively.

Conclusion:

Therefore, the value of the $a$ , $b$ and $c$ from the given quadratic equation is $14$ , $3$ and $-16$ respectively.