CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Solving a Quadratic Equation by Factorization Method

Solve the fol...

Question

Solve the following quadratic equation by factorization.
$16 x - \frac{10}{x} = 27$

Open in App

Solution

product of -10 and 16 = -160
which can be written as -32 x 5
-32+5= -27

$16 x squared minus 27 x minus 10 equals 0 16 x squared minus 32 x plus 5 x minus 10 equals 0 16 x left parenthesis x minus 2 right parenthesis plus 5 left parenthesis x minus 2 right parenthesis equals 0 left parenthesis 16 x plus 5 right parenthesis left parenthesis x minus 2 right parenthesis equals 0 x equals fraction numerator negative 5 over denominator 16 end fraction comma space 2$

Suggest Corrections

thumbs-up

19

Similar questions

Q. Solve the quadratic equation by factorization :
16x-10÷x=27

Q. Solve the following quadratic equations by factorization:

\frac{16}{x} - 1 = \frac{15}{x + 1}; x \neq 0, - 1

Q. Solving the following quadratic equation by factorization, the roots are :

2, - \frac{5}{16}

16 x - \frac{10}{x} = 27

Q. Solve the following quadratic equations by factorization:

16 x - \frac{10}{x} = 27

Q. Solve the following quadratic equations by factorization method :

9^{x} - 12 \times 3^{x} + 27 = 0

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Solving QE by Factorisation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Solving a Quadratic Equation by Factorization Method

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon