Question

5x^2+4=9x quadratic equation by factorization method ​

Answer 1

Answer:

Move terms to the left side

5

2

+

4

=

9

5x^{2}+4=9x

5x2+4=9x

5

2

+

4

−

9

=

0

5x^{2}+4-9x=0

5x2+4−9x=0

2

I hope it is helpful for you

Answer 2

Answer:

${5x}^{2} + 4 = 9x$

${5x}^{2} - 9x + 4 = 0$

${5x}^{2} - (5 + 4)x + 4 = 0$

${5x}^{2} - 5x - 4x + 4 = 0$

$5x(x - 1) - 4(x - 1) = 0$

$(5x - 4)(x - 1) = 0$

$(5x - 4) = 0 \: \: and \: \: (x - 1) = 0$

$5x = 4 \: \: and \: \: x = 1$

x = 4/5 and x = 1

Ans. Factorization = (5x - 4)(x - 1)

Zero of the polynomial = 4/5 and 1

Step-by-step explanation:

You have not given whether you want the factorization only or the zeros so I have given both the ans.

Hope it helps.