Math, asked by mamatharaj2007, 8 months ago

Solve using formula x² -7x+12 =0

Answers

Answered by soumamondal
5

Answer:

wait i will attach an attachment

Step-by-step explanation:

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Attachments:
Answered by Anonymous
68

Answer:

 \boxed{\sf x = 4 \: or \: 3}

Step-by-step explanation:

 \sf Solve  \: for  \: x  \: over \:  the  \: real  \: numbers: \\  \sf \implies  {x}^{2}  - 7x + 12 = 0 \\  \\  \sf Conver \: the  \: left \:  hand  \: side \:  factors \:  into \\  \sf a  \: product \:  with  \: two \:  terms: \\  \sf \implies  {x}^{2}  - (3 + 4)x + 12 = 0 \\  \\ \sf \implies  {x}^{2}  - 3x - 4x + 12 = 0 \\  \\ \sf \implies x(x - 3) - 4(x - 3) = 0 \\  \\ \sf \implies (x - 3)(x  - 4) = 0 \\  \\ \sf Split \:  into \:  two \:  equations: \\  \sf \implies (x - 4) = 0 \:  \:  \:  \: or \:  \:  \:  \: (x -3) = 0 \\  \\  \sf Solve \:  for \:  x  \: by \: adding \: 4 \: and \: 3 \: respectively  \\  \sf on \: both \: sides:  \\  \sf \implies x = 4 \:  \:  \:  \: or \:  \:  \:  \: x = 3

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