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scoray [572]
3 years ago
10

Solve the following equation algebraically. Represent your answer in simplest radical form, if necessary.

Mathematics
1 answer:
maria [59]3 years ago
7 0
x^2 + x = 30\\\\x^2 + x - 30=0\\\\x^2+6x-5x-30=0\\\\x(x+6)-5(x+6)=0\\\\(x+6)(x-5)=0\\\\x+6=0\ \ \ \ \ \ or\ \ \ \  \ \ x-5=0\\\\x=-6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=5
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What is 2x-(x-2)=-2-(x-1)​
bezimeni [28]
Distribute first so
2x-x+2=2-x+1
Combine like terms so
x+2=3-x
Get terms on the same side so
2x+2=3
Subtract 2
2x=1
Divide
X=1/2 or .5

8 0
3 years ago
5x^2-41x+8=0 please helpp
jeka94

Answer:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

4

1

+

8

=

0

5x^{2}-41x+8=0

5x2−41x+8=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

4

1

b={\color{#e8710a}{-41}}

b=−41

=

8

c={\color{#129eaf}{8}}

c=8

=

−

(

−

4

1

)

±

(

−

4

1

)

2

−

4

⋅

5

⋅

8

√

2

⋅

5

2

Simplify

3

Separate the equations

4

Solve

Solution

=

8

=

1

5

7 0
2 years ago
Read 2 more answers
line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?
Elena L [17]

Answer:

y + 7 = \frac{1}{2} (x + 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = \frac{1}{2} and (a, b ) = (- 6, - 7 ) , then

y - (- 7) = \frac{1}{2} (x - (- 6) ) , that is

y + 7 = \frac{1}{2} (x + 6)

8 0
2 years ago
Read 2 more answers
Form a quadratic equation with roots (1+√3) and (1-√3)​
Alborosie

Answer:

hope this helps u

I guess

7 0
2 years ago
Find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.
Sergeu [11.5K]

Answer:

\frac{512}{6561}

Step-by-step explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according  to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.

5 0
2 years ago
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