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iragen [17]
3 years ago
8

Determine the number of real solutions each quadratic equation has. y = 12x2 - 9x 4

Mathematics
2 answers:
Lisa [10]3 years ago
7 0
ANSWER

The quadratic function,

y = 12 {x}^{2}  - 9x + 4
has no real roots.


EXPLANATION

We use the discriminant,

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

to determine the nature of the roots of a quadratic equation.


If we compare

y = 12 {x}^{2}  - 9x + 4

to

y = a{x}^{2}   + bx + c



Then

a=12,b=-9,c=4


We substitute these values in to the formula for the discriminant, to obtain,



D =  {( - 9)}^{2}  - 4(12)(4)


D =  81 - 192


This implies that,

D =   - 111 \:  <  \: 0


Since the discriminant is zero, the quadratic function,


y = 12 {x}^{2}  - 9x + 4

has no real roots.
krek1111 [17]3 years ago
3 0
  Find the Vertex of   y = 12x2-9x+4
 <span>  y = 2.313</span>
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