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Llana [10]
3 years ago
9

Use the zero product property to find the solutions to the equation 6x^2 – 5x = 56.

Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

x = 7/2 or x = -8/3

Step-by-step explanation:

Solve for x over the real numbers:

6 x^2 - 5 x = 56

Divide both sides by 6:

x^2 - (5 x)/6 = 28/3

Add 25/144 to both sides:

x^2 - (5 x)/6 + 25/144 = 1369/144

Write the left hand side as a square:

(x - 5/12)^2 = 1369/144

Take the square root of both sides:

x - 5/12 = 37/12 or x - 5/12 = -37/12

Add 5/12 to both sides:

x = 7/2 or x - 5/12 = -37/12

Add 5/12 to both sides:

Answer:  x = 7/2 or x = -8/3

viktelen [127]3 years ago
5 0

Step-by-step explanation:

solving for x

6x²-5x=56

subtract 56 from both sides

6x²-5x-56=0

using middle term break method

factorise (56)(6)=(2*2*2*7)(2*3)

=(2*2*2*2) makes 16 and combining(3*7) makes 21

so we have

=6x²+16x-21x-56=0

taking factors out of first two terms and then other two terms

=>2x(3x+8)-7(3x+8)=0

=>(2x-7)(3x+8)=0

either 2x-7=0 or 3x+8=0

2x=7 or 3x=-8

x=7/2 or x=-8/3

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Please help___________​
kramer

Answer:

Step-by-step explanation:

Let's do the obvious things first.

Right rectangle

w = 11

L = 17

Formula

Area = L * W

Area = 11 * 17

Area =                                                187

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L = 11

Area = 8 * 11=                                      88

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W = 11

L = 15

Area = 11 * 15                                    165

Now we come to the triangles. It's not obvious what to do with them. You have to infer that one of the lets is 8 and the other is 15. You get the 8 from the width of the left rectangle (see above.)

There are 2 triangles

Area = 2 * 1/2 * l1 * l2

Leg 1 = 8

Leg2 = 15

Area = 2 * 1/2 (8 * 15)

Area =               <u>                            120 </u>

Total  = 120 + 165 + 88 + 187 =    560

Unless you have an  E answer that is 560, my answer does not agree with any of the given answers. I would suggest that you ask your teacher how it is done. My method is correct.

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2 years ago
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