Question

1. If one zero of a quadratic polynomial kx²+3x+K is 2, then the what is the value of K?.
olynomial is shown in figure what is the number of its zero?​

Answer 1

$\bf \maltese \: \: \: \underline{ \underline{Question \: : }}$

• If polynomial kx² + 3x + k is having one root 2, then find the value of k

$\mathfrak{ {\large{\bull}} \: \: \: \: { \underline{ \underline{What \: \: the \: \: question \: \: says \: !! } _{\bigstar \star} \: \: \: }}}$

• A quadratic function is given by f( x ) = kx²+3x+k , now we are given one pt. [ie; ( 2,0 ) where the function is zero.
• Now we have to find out the value of k

let's do it !!

$\bf \maltese \: \: \: \underline{ \underline{Solution\: : }}$

• As function is zero at x is equal to 2, hence we can say k ( 2 )² + 3( 2 ) + k = 0

$\longrightarrow \: \: \sf \: k {(2)}^{2} + 3(2) + k = 0$

$\longrightarrow \: \: \sf \: 4k + 6 + k = 0$

$\longrightarrow \: \: \sf \: 5k + 6 = 0$

$\longrightarrow \: \: \sf \: 5k = - 6$

$\longrightarrow \: \: { \underline{\boxed{\mathfrak { k = \frac{ - 6 }{ \: \: \: 5}}} }}$

$\mathfrak{\star \bigstar \: \: \underline{ \underline{Keep \: \: Studying \: \: and \: \: All \: \: The \: \: Very \: \: Best}} \: \: \bigstar \star}$