Question

k(2k+5)=3

solve with step by step explanation​

Answer 1

Answer:

$\large k(2k + 5) = 3 \\ \\ \large 2 {k}^{2} + 5k = 3 \\ \\ \large 2 {k}^{2} + 5k - 3 = 0 \\ \\ \large k = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ \large k = \frac{ - 5± \sqrt{ {5}^{2} - 4 \times 2 \times - 3} }{2 \times 2} \\ \\ \large k = \frac{ - 5± \sqrt{25 - ( - 24)} }{4} \\ \\ \large k = \frac{ - 5± \sqrt{25 + 24} }{4} \\ \\ \large k = \frac{ - 5± \sqrt{49} }{4} \\ \\ \large k = \frac{ - 5±7}{4} \\ \\ \large k = \frac{ - 5 + 7}{4} \: \: \: or \: \: \: k = \frac{ - 5 - 7}{4} \\ \\ \large k = \frac{2}{4} \: \: \: or \: \: \: k = \frac{ - 12}{4} \\ \\ \boxed{ \large k = \underline{ \underline{ \bf \frac{1}{2}}} \: \: \: or \: \: \: k = \underline{ \underline{ \bf - 3}}}$

Answer 2

REFER TO ATTACHMENT HOPE IT HELPS

NICE PFP