Question

if 2 is a zero of kx² -2x+k then the value of k​

Answer 1

Answer:

putting x=2

k(4)-2(2)+k =0

4k-4+k=0

5k-4=0

5k=4

k=4/5

Answer 2

Given :-

• Quadratic polynomial p(x) = kx² - 2x + k
• 2 is a zero of the given polynomial.

To Find :-

• Value of K

Solution :-

$\qquad$☀️We know that , if x = a is a zero of a polynomial p(x) , then p(a) = 0 .It’s given, x = 2 is a zero of the given quadratic polynomial.

$\qquad\small\underline{\pmb{\sf \:According \: to \: the \: question :-}}$

$\qquad\leadsto\quad \pmb {\mathfrak{ p(2) = 0 }}$

$\qquad\leadsto\quad \pmb {\mathfrak{ k \times 2² - 2\times 2 + k = 0 }}$

$\qquad\leadsto\quad \pmb {\mathfrak{ 4k - 4 + k = 0 }}$

$\qquad\leadsto\quad \pmb {\mathfrak{ 5k - 4 = 0 }}$

$\qquad\leadsto\quad \pmb {\mathfrak{5k = 4 }}$

$\qquad\leadsto\quad \pmb {\mathfrak{ k = \dfrac{4}{5} }}$

$\therefore\:\underline{\textsf{Value of k is \textbf{ 4/5 }}}.$

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