Question

if one zero of the quadratic polynomial 5x²+ (p)x + 8 = 0 is 1/ 2 then the value of p is​

Answer 1

Answer:

Given Equation :

$\: \: \: \: \: \: \: { \sf{ \pmb{5 {x}^{2} + px + 8 = 0}}}$

Substituting 1/2 in the eq :

$\: \: \: \: \: \: \: \: \: \: : { \implies { \sf{5 { \bigg( \frac{1}{2} \bigg) }^{2} + p \bigg( \frac{1}{2} \bigg) + 8 = 0 }}}$

$\: \: \: \: \: \: \: \: \: \: : { \implies { \sf{5 \bigg( \frac{1}{4} \bigg) + \frac{p}{2} + 8 = 0 }}}$

$\: \: \: \: \: \: \: \: \: \: : { \implies { \sf{ \frac{5}{4} + \frac{p}{2} + 8 = 0 }}}$

$\: \: \: \: \: \: \: \: \: \: : { \implies { \sf{ \frac{5 + 2p + 32}{4} = 0 }}}$

$\: \: \: \: \: \: \: \: \: \: : { \implies { \sf{5 + 2p + 32 = 0}}}$

$\: \: \: \: \: \: \: \: \: \: : { \implies { \sf{2p = - 37}}}$

$\: \: \: \: \: \: \: \: \: \: : { \implies { \sf{p = \frac{ - 37}{2} }}}$

Therefore,

• Value of p is -37/2

Answer 2

Step-by-step explanation:

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