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dem82 [27]
2 years ago
14

Express X^2 + 4X - 3 in the form (X+P)^2 + q

Mathematics
1 answer:
alukav5142 [94]2 years ago
7 0

Answer:

Answer is (x + 2)² - 7

Step-by-step explanation:

• We gonna achieve this through completing squares:

{ \tt{ {x}^{2}  + 4x - 3}}

• Find the square of the half of the sum.

  • sum is 4

{ \boxed{ \rm{square \: of \: sums \: half =  {( \frac{4}{2} )}^{2}  =  {2}^{2} = 4 }}}

• Add 4 to the sum and subtract it from the product.

  • product is -3

\hookrightarrow \: { \rm{ ({x}^{2}  + 4x + 4) + ( - 3 - 4)}} \\ { \rm{(x + 2) {}^{2}  - 7}}

• Answer is proven

{ \boxed{ \mathfrak{answer \dashrightarrow \: { \rm{ {(x + 2)}^{2} - 7 }}}}}

  • P is 2
  • q is -7
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Step-by-step explanation:

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Lunna [17]

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