vsoto29 vsoto29
  • 21-05-2022
  • Mathematics
contestada

for what value(s) of the constant b does the equation f(x)=3x^2+bx+27 have 1 x-intercept

Respuesta :

culveryolanda46
culveryolanda46 culveryolanda46
  • 21-05-2022

Step-by-step explanation:

An a quadratic equation,

[tex] {ax}^{2} + bx + c = 0[/tex]

If the quadratic has one solution,

then

[tex]b {}^{2} - 4ac = 0[/tex]

So plug in 27 for c, and 3 for a

[tex] {b}^{2} - 4(3)(27) = 0[/tex]

[tex] {b}^{2} - 324 = 0[/tex]

[tex] {b}^{2} = 324[/tex]

[tex]b = 18[/tex]

or

[tex]b = - 18[/tex]

So our answer is 18 or -18

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