All categories

3 years ago

Solve g(-1)=x^2-5x+2

Mathematics

1 answer:

olga55 [171]3 years ago

5 0

Answer:

x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2

Step-by-step explanation:

Solve for x:

x^2 - 5 x + 2 = 0

Subtract 2 from both sides:

x^2 - 5 x = -2

Add 25/4 to both sides:

x^2 - 5 x + 25/4 = 17/4

Write the left hand side as a square:

(x - 5/2)^2 = 17/4

Take the square root of both sides:

x - 5/2 = sqrt(17)/2 or x - 5/2 = -sqrt(17)/2

Add 5/2 to both sides:

x = 5/2 + sqrt(17)/2 or x - 5/2 = -sqrt(17)/2

Add 5/2 to both sides:

Answer: x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2

You might be interested in

What is true about the figure below?

VARVARA [1.3K]

Answer:

the answer is b

Step-by-step explanation:

7 0

2 years ago

-4y-4+(-3) what is my answer?

poizon [28]

Always remember that:
Minus x Minus = Plus
E.g. -2 x -3 = 5
Minus x Plus = Minus
E.g. -2 x 3 = -5
Plus x Plus = Plus
E.g. 2 x 3 = 5

5 0

3 years ago

Read 2 more answers

The committee is planning a party and 150 guests are expected. Each package of plastic spoons contains 24 spoons. How many packa

zepelin [54]

Answer:7

Step-by-step explanation:

150 divided by 24 equals 6.25 but round it up so everyone gets one.

8 0

3 years ago

Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

Let $\sqrt{1+\sqrt(3) i}=p+iq$

Squaring both sides

$1+\sqrt(3) i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$1=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

5 0

4 years ago

2. A rock is thrown upward from the edge of a 135 foot cliff overlooking Lake Superior, with an initial

Alex Ar [27]

Answer:

Step-by-step explanation:

6 0

3 years ago