Question

If 1 is a root of the equation mula1" title="5x^{2} +kx - 3 = 0 " alt="5x^{2} +kx - 3 = 0 " align="absmiddle" class="latex-formula">
find the other root​

Answer 1

Step-by-step explanation:

5x² + kx - 3 = 0 has a root x = 1.

=> 5(1)² + (1)k - 3 = 0

=> 5 + k - 3 = 0

=> k = -2.

Therefore we have 5x² - 2x - 3 = 0.

=> (x - 1)(5x + 3) = 0

=> x = 1 or x = -3/5.

Hence the other root is -3/5.