Question

One of the roots of the equation 5x^2+bx+24=0 is 8. Find the other root and the value of the coefficient b.

Answer 1

Answer:

b= -43

The other Root= 3/5

Step-by-step explanation:

Answer 2

The value of the coefficient b is - 43 and other root of quadratic equation is $\frac{3}{5}$

The  root of any equation is always satisfied that equation.

Since, root of equation $5x^2+bx+24=0$ is 8 .

So,       $5(8)^{2}+8b+24=0\\\\320+8b+24=0\\\\8b=-344\\\\b=-\frac{344}{8}=-43$

Now, equation become,

                    $5x^2-43x+24=0\\\\5x^{2} -40x-3x+24=0\\\\5x(x-8)-3(x-8)=0\\\\(5x-3)(x-8)=0\\\\x=\frac{3}{5} ,x=8$

Therefore, the value of the coefficient b is - 43 and other root of quadratic equation is 3/5.

Learn more:

https://brainly.com/question/11492380