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IceJOKER [234]
3 years ago
7

Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts

.
2x² = 13x +7
Rewrite the equation in factored form.
Mathematics
1 answer:
Allushta [10]3 years ago
8 0

9514 1404 393

Answer:

  x = -1/2, x = 7

Step-by-step explanation:

Written in standard form, the equation is ...

  2x² -13x -7 = 0

We observe that factors of (2)(-7) that have a sum of -13 are -14 and +1. Rewriting the middle term using these numbers, we have ...

  2x² -14x +x -7 = 0

  2x(x -7) +1(x -7) = 0 . . . . . factor pairs of terms

  (2x +1)(x -7) = 0 . . . . . . . . factored form

The solutions are the values of x that make these factors zero.

  2x +1 = 0   ⇒   x = -1/2

  x -7 = 0   ⇒   x = 7

The solutions to the quadratic are x = -1/2 and x = 7.

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18 sqrt2/ sqrt3

Step-by-step explanation:

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bixtya [17]
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8 0
2 years ago
-3x^{2}-21x-54 what are the zeros? (Solutions)
Irina-Kira [14]
The only way to solve if it is equal to something
assuming that the teacher wanted you to make it equal to zero do
0=-3x^2-21x-54

remember if we can do
xy=0 then assume x and y=0

so factor

0=-3x^2-21x-54
undistribute the -3
0=-3(x^2+7x+18)
remember 0 times anything=0 so
x^2+7x+18 must equal zero
use quadratice formula which is

if you have
ax^2+bx+c=0 then
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}

x^2+7x+18
a=1
b=7
c=18

x=\frac{-7+/- \sqrt{7^{2}-4(1)(18)} }{2(1)}
x=\frac{-7+/- \sqrt{49-72} }{2}
x=\frac{-7+/- \sqrt{-23} }{2}
i=√-1
x=\frac{-7+/- i\sqrt{23} }{2}



the zerose would be
x=\frac{-7+ i\sqrt{23} }{2} or \frac{-7- i\sqrt{23} }{2}




4 0
2 years ago
24% of 289 estimated using<br> a rate per 100
zaharov [31]

Answer:

The answer would be 40!

Step-by-step explanation:

Estimating ~ rounding

I would round 24% (20%), and 289 (300).

using the formula:

is/of \\ = %/100,

I'm looking for "IS"

I multiply 20 (just 20, no percent) by 200 = 4000.

Then I divide by 100 to get the "IS".

That's how I got my answer!

Hope this helps!

6 0
3 years ago
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