Question

one of the roots of equations x²+mx-5=0is 2 find m​

Answer 1

Step-by-step explanation:

GIVEN:

P(X)=X^2 + mX -5

ONE OF IT'S ROOT=2

TO FIND :

VALUE OF m.

CONCEPT USED:

ROOT OF THE POLYNOMIAL IS THE VALUE OF VARIABLE THAT MAKES WHOLE EXPRESSION EQUAL TO 0.

SOLUTION:

${x}^{2} + mx - 5 = 0 \\ \\ = > {2}^{2} + 2m - 5 = 0 \\ \\ = > 4 + 2m - 5 = 0 \\ \\ = > - 1 + 2m = 0 \\ \\ = > 2m = 1 \\ \\ = > m = \frac{1}{2}$

HENCE VALUE OF M=1/2.