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AveGali [126]
3 years ago
15

In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

Step-by-step explanation:

quadratic equation: ax² + bx + c =0

x' = [-b+√(b²-4ac)]/2a   and x" =  [-b-√(b²-4ac)]/2a  

6 = x² – 10x ; x² - 10x -6 =0

(a=1, b= - 10 and c = - 6

x' = [10+√(10²+4(1)(-6)]/2(1)  and x" = [10-√(10²+4(1)(-6)]/2(1)

x' =5+√31  and x' = 5-√31

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Find the length of the missing side. The triangle is not drawn to scale.
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Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

a^2+b^2=c^2

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it  is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

a^2+15^2=17^2

Simplify exponents:

a^2+225=289

Isolate the variable. Subtract 225 from both sides:

a^2+225-225=289-225\\a^2=64

Find the square root of both sides:

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3 years ago
What is (6x+4) - (4x+2)
Nana76 [90]

Answer:

x = -1

Step-by-step explanation:

1. Simplifying

6x + 4 = 4x + 2

2. Reorder the terms

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3. Solving

4 + 6x = 2 + 4x

4. Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.

4 + 6x + -4x = 2 + 4x + -4x

5. Combine like terms: 6x + -4x = 2x

4 + 2x = 2 + 4x + -4x

6. Combine like terms: 4x + -4x = 0

4 + 2x = 2 + 0

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7. Add '-4' to each side of the equation.

4 + -4 + 2x = 2 + -4

8. Combine like terms: 4 + -4 = 0

0 + 2x = 2 + -4

2x = 2 + -4

9. Combine like terms: 2 + -4 = -2

2x = -2

10. Divide each side by '2'.

x = -1

11. Simplifying

x = -1

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