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3 years ago

Complete the square: x^2 + 2x - 3 = 0

Mathematics

2 answers:

Sophie [7]3 years ago

7 0

$x^{2} +2x-3=0 \\\\ (x)^2+2(x)(1) +(1)^2 -1^2-3 =0 \\\\ (x+1)^2-4 = 0 \\\\ (x+1)^2 = 4 \\\\ x+1 = \± \sqrt{4} \\\\ x = -1 ~\±2 \\\\ \therefore x = 1 ~~~or~~~ x = -3$

Aloiza [94]3 years ago

3 0

I got x=plus or minus 1

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Use the quadratic formula to solve the equation x^2-7x-6=0

olganol [36]

Answer:

$\frac{7\pm\sqrt{73}} {2}$

Explanation:

We have been given with the quadratic equation $x^2-7x-6=0$

We have general formula to find the roots of a quadratic equation first we find the discriminant with formula

$D=b^{2}-4ac$

and after that to find the variable suppose x we have the formula

$x=\frac{-b\pm\sqrt{D}} {2a}$

And general quadratic equation is

$ax^2+bx+c=0$

On comparing the given quadratic equation with genral quadratic equation we will have values

a=1, b=-7 and c=-6

After substituting these values in the formula we will get

$D=(-7)^2-4(1)(-6)={73}$

After substituting in the formula to find x we will get

$\frac{-(-7)\pm\sqrt{73}} {2}= \frac{7\pm\sqrt{73}} {2}$

4 0

4 years ago

Read 2 more answers

What is the shaded portion of the circle

blagie [28]

Answer:

$(5\pi-11.6)\ ft^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the sector minus the area of the triangle

step 1

Find the area of the circle

the area of the circle is equal to

$A=\pi r^{2}$

we have

$r=5\ ft$

substitute

$A=\pi (5)^{2}$

$A=25\pi\ ft^{2}$

step 2

Find the area of the sector

we know that

The area of the circle subtends a central angle of 360 degrees

by proportion find out the area of a sector by a central angle of 72 degrees

$\frac{25\pi}{360}=\frac{x}{72}\\ \\x=72*25\pi /360\\ \\x=5\pi\ ft^{2}$

step 3

Find the area of triangle

The area of the triangle is equal to

$A=\frac{1}{2}(2.9+2.9)(4)= 11.6\ ft^{2}$

step 4

Find the area of the shaded region

Subtract the area of the triangle from the area of the sector

$(5\pi-11.6)\ ft^{2}$

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3 years ago

HELP P L E A S E ! !

alex41 [277]

Answer:

A is true but I dont know the rest I am very sorry .-.

Step-by-step explanation:

I Just added 18 + 12 = 30 + 10 = 40 and that is why A is true

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3 years ago

1,913 Partial Quotients by 47

kiruha [24]

1913÷47
=40.7021276596

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3 years ago

49^x/4-5 = 343^x/3 what does x equal

ratelena [41]

Answer 8 here is why because 34 x8 is 184

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3 years ago