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wariber [46]
3 years ago
15

How do you solve it with quadratic formula?

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

Given:

7(x-5)^2=63

To make this easier, let's expand the left side of the equation. (x-5)^2 is the same as (x-5)(x-5). Let's rewrite it:

7(x-5)(x-5)=63

Let's use the FOIL method (First, Outer, Inner, Last) to simplify the binomial of (x-5)(x-5) on the left. We then get:

7(x^2-10x+25)=63

Distribute the seven on the left side (which means multiply the seven by everything in the parenthesis) We are left with:

7x^2-70x+175=63

Since we must have the equation set to 0 to use the quadratic formula, subtract 63 from both sides:

7x^2-70x+112=0

Now, we can use the quadratic formula. The quadratic formula is:

x=\frac{-b+\sqrt{(b)^2-4(a)(c)}}{2(a)} and x=\frac{-b-\sqrt{(b)^2-4(a)(c)}}{2(a)}

Let's identify our a, b and c values:

a: 7

b: -70

c: 112

Plug in your values into the equation:

x=\frac{70+\sqrt{(-70)^2-4(7)(112)}}{2(7)}

Simplify the value inside the square root (called the discriminant) and the denominator:

x=\frac{70+\sqrt{1764}}{14}

Simplify the square root. The square root of 1764 is 42:

x=\frac{70+42}{14}

Simplify the numerator:

x=\frac{112}{14}

Simplify:

x=8

That's just one answer, lets get the other one.

x=\frac{70-42}{14}

Simplify the numerator:

x=\frac{28}{14}

Simplify:

x=2

Your answers would be:

x=8

x=2


Dima020 [189]3 years ago
4 0
Tell me the answer is correct

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3 years ago
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saveliy_v [14]

Answer:

Correct option is (C).

Step-by-step explanation:

Because in figure,

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first option

Step-by-step explanation:

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kumpel [21]

Answer:

The number, x = { -5 < x < 14}

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Step-by-step explanation:

From the statement, let the number be x

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This means that y is any integer between -2 and 17

Therefore, x = y - 3

Subtract 3 from the limits of y

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4 0
3 years ago
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