Question

solve the following question with explanation.​

Answer 1

$\huge\bold\purple{♡\:} {\orange{\underline{\red{\mathbf{ SOLUTION}}}}} \bold\purple{\:♡}$

➳ f(x) = kx² + 2x - 8 = 0

➳ f(-2) = 0

➳ k(-2)² + 2(-2)² + 2(-2) - 8 = 0

➳ 4k - 4 - 8 = 0

➳ 4k = 12

➳ k = 12/4

➳ $\boxed{\bold{\red{k \:=\:3}}}$

Answer 2

Step-by-step explanation:

$f(x) = kx ^{2} + 2x - 8 = 0$

$f( - 2) = 0$

$k( - 2) ^{2} + 2( - 2) - 8 = 0$

$4k - 4 - 8 = 0$

$4k - 12 = 0$

$4k = 12$

$k = 12 \div 4$

$k = 3$