Question

If one zero of the quadratic polynomial x2 - 7x + 5k is -2, then find the value of k​

Answer 1

Answer:-

• Given Quadratic Polynomial = x² -7x +5k

• One zero of given polynomial = -2

It means that if we consider polynomial x² -7x +5k and put the value of x = -2 in the given polynomial so we'll get the value of k .

• x = -2

$:\implies$ P(x) = x² -7x +5k

Substitute the value we get

$:\implies$ P(-2) = (-2)² -7(-2) + 5k

$:\implies$ (-2)² -7(-2) +5k = 0

$:\implies$ 4 +14 +5k = 0

$:\implies$ 18 + 5k = 0

$:\implies$ 5k = -18

$:\implies$ k = -18/5

• Hence, the value of k = -18/5.

Answer 2

$answer \rightrightarrows \: k = \frac{-18}{5}$

Given:-

• one zero given= -2

To find:-

• find value of k

Step-by-step explanation:

For solving such questions

• put the given root in x
• by putting the root in x value of equation becomes 0
• find kSolution:-

Put

$x = - 2$

${( - 2) }^{2} - 7 \times ( - 2) + 5k =0$

furthur simplifying

$k = \frac{ - 18}{5}$

Hope it help u