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3 years ago

5

Can someone explain the quadratic formula please?

1 answer:

brilliants [131]3 years ago

6 0

Answer:

While factoring may not always be successful, the Quadratic Formula can always find the solution. The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.

source from: https://www.purplemath.com/modules/quadform.htm

your welcome!

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Which graph represents a quadratic function with a vertex at (0, 0)?

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If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

So

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

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Now from (1) and (2), we get

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Now put a in (1) we get

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We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

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When a=5 and b=3, we have

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Final Answer:

The option D is correct.

31 and 41

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Steps to solve:

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~Substitute

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~Simplify

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~Subtract

1 + 14

~Add

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Best of Luck!

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