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1 year ago

Α and β are the roots of the equation 2x² - 3x + 4 = 0. Find α+β

Mathematics

1 answer:

BaLLatris [955]1 year ago

8 0

Answer:

Step-by-step explanation:

ans is in the attachment.

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Write two numbers that multiply to the value on top and add to the value on bottom. -60−60 -4−4 \times× ++

yan [13]

Answer:

The two numbers are 6 and -10

Step-by-step explanation:

Given

$Product = -60$

$Sum =-4$

Required

Two numbers that satisfy the above

Let the two numbers be x and y.

So:

$x * y = -60$

$x + y = -4$

Make x the subject

$x = -4 - y$

Substitute $x = -4 - y$ in $x * y = -60$

$(-4 -y) * y = -60$

Open bracket

$-4y -y^2 = -60$

Rewrite as:

$y^2 + 4y - 60 = 0$

Split

$y^2 + 10y - 6y - 60 = 0$

Factorize

$y(y + 10) - 6(y + 10) = 0$

Factor out y + 10

$(y - 6) (y + 10) = 0$

Solve for y

$y -6=0\ or\ y+10=0$

$y =6\ or\ y=-10$

Recall that:

$x = -4 - y$

So:

$x = -4-6= -10$

$x = -4--10= 6$

So:

$y =6\ or\ y=-10$

$x = -10\ or\ x =6$

<em>The two numbers are 6 and -10</em>

6 0

3 years ago

Somebody please help meee

Soloha48 [4]

3√2/(√3 - √2) . (√3 - √2)/(√3 - √2)

3√2(√3 - √2)/(3 - 2)

3√2(√3 - √2)

3√6 - 6

3(√6 - 2)

Answer: 3(√6 - 2)

6 0

3 years ago

At halloween 3/10 of the candy robin receivd was chocolate. what percent of candy was chocolate,

Tomtit [17]

If 3/10 was chocolate
3/10=0.3
0.3 *100=30% was chocolate

4 0

4 years ago

Please help

Ira Lisetskai [31]

Answer:

285°

Step-by-step explanation:

105+180=285

7 0

3 years ago

8/9 - Evaluating Algebraic Expressions

Alecsey [184]

9514 1404 393

Answer:

(a) 20

Step-by-step explanation:

Put the numbers in place of the corresponding letters and do the arithmetic.

4(5) -((-3) +5) +2 = 20 -2 +2 = 20

5 0

3 years ago