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Vlad [161]
4 years ago
11

If x6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the

Mathematics
1 answer:
lys-0071 [83]4 years ago
5 0

Answer:

The discriminant is equal to zero

Step-by-step explanation:

If x=6 is the only x-intercept of the graph of a quadratic equation, the it means the quadratic equation has a repeated root.

When a quadratic equation has a repeated root, it means its discriminant is zero.

This means that

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

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Which products result in a difference of squares? Check all that apply.(x – y)(y – x)(6 – y)(6 – y)(3 + xz)(–3 + xz)(y2 – xy)(y2
nikitadnepr [17]

1. (3 + xz)(–3 + xz)

2. (y² – xy)(y² + xy)

3. (64y2 + x2)(–x2 + 64y2)

Explanation

The difference of 2 squares is in the form (a+b)(a-c).

(3 + xz)(–3 + xz) = (3 + xz)(xz -3)

                           = (xz + 3)(xz - 3)

                          = x²y²-3xy+3xy-9

                          =x²y² - 3²

(y² – xy)(y² + xy) = y⁴+xy³-xy³-x²y²

                          = y⁴ - x²y²

(64y2 + x2)(–x2 + 64y2)= (64y²+x²)(64y²-x²)

                                      = 4096y⁴-64y²x²+64y²x²-x⁴

                                      = 4096y⁴ - x⁴

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