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Leni [432]
2 years ago
11

If the discriminant is negative then the quadratic has

Mathematics
1 answer:
zepelin [54]2 years ago
4 0

Answer:

No <em>real</em> solutions (or has two complex roots)

Step-by-step explanation:

The discriminant, <em>b</em>² - 4<em>ac</em>, is the expression (<u><em>radicand </em></u>) of the quadratic equation:

x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}.

The value of the discriminant determines the <u>nature</u> and the <u>number of solutions</u> given by the quadratic equation.

A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.  

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3 years ago
The length of a photograph is 3cm less than twice the width. The area is 54cm^2. Find the dimensions of the photograph.
REY [17]
W= width
l= length= 2w-3

Area= length * width
A= lw
substitute l=2w-3 for l
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subtract 54 from both sides
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factor the polynomial
0= (2w + 9)(w - 6)

Set each set of parentheses equal
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ANSWER: width= 6cm; length= 9cm

Hope this helps! :)
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