Question

solve this quadratic question in two methods.

${x}^{2} - 3x - 4$
​

Answer 1

Answer:

x²-4x+x-4

x(x-4)+1(x-4)

(x-4)(x+1)

Answer 2

Answer:

□ X=4 and -1✔✔

Step-by-step explanation:

$\huge{\boxed{\sf{SOLUTION-}}}$

$\huge{\boxed{\sf{1ST\:METHOD-}}}$

$\huge{\boxed{\sf{MIDDLE\:TERM\:SPLITTING-}}}$

${x}^{2} - 3x - 4 \\ {x}^{2} - 4x + x - 4 \\ x(x - 4) + 1(x - 4) \\ (x + 1)(x - 4) \\ x = - 1 \: and \: 4$

$\huge{\boxed{\sf{2nd\:METHOD-}}}$

$\huge{\boxed{\sf{QUADRATIC\:FORMULA-}}}$

$d = {b}^{2} - 4ac \\ \: \: \: \: = {3}^{2} + 16 \\ \: \: \: \: = 9 + 16 \\ \: \: \: \: = 25 \\ again \\ x = \frac{ - b + \sqrt{d} }{2a} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ - b - \sqrt{d} }{2a} \\ x = \frac{3 + 5}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{3 - 5}{2} \\ x = \frac{8}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ - 2}{2} \\ x = 4 \: and \: - 1$