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3 years ago

2x^2-28=10x Factor then solve?

Mathematics

2 answers:

maria [59]3 years ago

4 0

2x^2-28=10x

x^2-14=5x

x^2-5x-14=0

(x-7)(x+2)=0

x = 7, -2

seraphim [82]3 years ago

4 0

Answer: Yeah. Factor by grouping because it’s the easiest.

Step-by-step explanation:

2x^2-28=10x

-10x -10x

______________

2x^2-10x-28 = 0

_______________

(2x^2+4x)(-14x-28)=0

You subtract the 10x from both sides and get 2x^2-10x-28 = 0. Then you group. Two parentheses have to be made. Put the 2x^2 in one and the -38 in the other. Multiply the 2 (leading coefficient) by the -28 and get -56. You need two numbers that multiply to -56 but add to -10. Those numbers are -14 and 4. So it’s (2x^2+4x)(-14x-28)=0. Then you just solve. Sorry bout the wordy-ness.

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3 years ago

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4 years ago

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A radio tower has a 64 ft Shadow cast by the sun. If the angle from the tip of the shadow to the top of the tower is 78.5°. what

Softa [21]

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right-angled triangle, and law of sine (for any type of triangles) :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the correlated angles are always opposite from each other.

and we know that the sum of all angles in a triangle is always 180°.

so, the angle at the foot of the radio tower is 90°.

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