What are the real solutions

Mathematics

1 answer:

Assoli18 [71]3 years ago

5 0

Step-1 : Multiply the coefficient of the first term by the constant 1 • -2 = -2

Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is 1 .

-2 + 1 = -1 -1 + 2 = 1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 2
 x2 - 1x + 2x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
 x • (x-1)
 Add up the last 2 terms, pulling out common factors :
 2 • (x-1)
Step-5 : Add up the four terms of step 4 :
 (x+2) • (x-1)
 Which is the desired factorization

Final result : (x + 2) • (x - 1) • (x - 3) • (2x - 5)

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What is -4/5+ 7/15 when you simplify ?

photoshop1234 [79]

Answer: $-\frac{1}{3}$

Step-by-step explanation:

When you add fractions with different denominators, you need to find the Least common denominator (LCD):

Descompose the denominators (5 and 15) into its prime factors and then choose the commons and non-commons with the highest exponents:

$5=5*1\\15=3*5\\\\LCD=5*3*1=15$

Divide the LCD by each original denominator of each fraction and multiply the result by each original numerator of each fraction. After this, you can add the numerators and reduce the fraction.

Then:

$-\frac{4}{5}+\frac{7}{15}=\frac{-(4)(3)+7(1)}{15}=\frac{-12+7}{15}=\frac{-5}{15}=-\frac{1}{3}$