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quester [9]
2 years ago
6

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

Mathematics
1 answer:
lions [1.4K]2 years ago
7 0

Step-by-step explanation:

An a quadratic equation,

{ax}^{2}  +  bx + c = 0

If the quadratic has one solution,

then

b {}^{2}  - 4ac = 0

So plug in 27 for c, and 3 for a

{b}^{2}  - 4(3)(27) = 0

{b}^{2}  - 324 = 0

{b}^{2}  = 324

b = 18

or

b =  - 18

So our answer is 18 or -18

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