[tex] \implies[/tex] Consider the form [tex]x^{2} + bx + c[/tex]. Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex]. In case, whose product is [tex]64[/tex] and whose sum is [tex]34[/tex].[tex]2[/tex], [tex]32[/tex]
[tex] \implies[/tex] Write the factored form using these integers.
[tex](x + 2)(x + 32) = 0[/tex]
[tex] \implies[/tex] If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].
[tex]x + 2 = 0[/tex]
[tex]x + 32 = 0[/tex]
[tex] \implies[/tex] Set [tex]x + 2[/tex] equal to [tex]0[/tex] and solve for [tex]x[/tex].
[tex]x + 32 = 0[/tex]
[tex] x = - 32[/tex]
[tex] \implies[/tex] The final solution is all the values that make [tex](x + 2)(x + 32) = 0[/tex] true.
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robobarbe
Use the quadratic equation and substitute the given values.
Answers & Comments
[tex]\large{\mathrm{ANSWER:}}[/tex][tex]x = - 2, \: 32[/tex]
[tex] \implies[/tex] Consider the form [tex]x^{2} + bx + c[/tex]. Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex]. In case, whose product is [tex]64[/tex] and whose sum is [tex]34[/tex].[tex]2[/tex], [tex]32[/tex]
[tex] \implies[/tex] Write the factored form using these integers.
[tex] \implies[/tex] If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].
[tex] \implies[/tex] Set [tex]x + 2[/tex] equal to [tex]0[/tex] and solve for [tex]x[/tex].
[tex] \implies[/tex] The final solution is all the values that make [tex](x + 2)(x + 32) = 0[/tex] true.