# Geometry

On Line ABCDE

If BD exceeds CD by 10 and

If BD=x^2 and CD = x + 4, compute x.

I tried:

BD = CD + 10

X^2 = (x+4)+10

x^2 = x+14

That's where I get stuck.

Do I convert to:

x^2 - x -14 = 0 ?

If so, how do I solve for x?

Thank you in advance for any assistance!

1. 👍
2. 👎
3. 👁
1. Assuming your math is ok as far as it went, have you not learned the quadratic formula? Use it, or solve by completing the square:

x^2-x-14 = 0
x^2-x = 14
x^2 - x + 1/4 = 14 + 1/4
(x - 1/2)^2 = 57/4
x = 1/2 ±√(57/4)

x = (1±√57)/2

1. 👍
2. 👎

## Similar Questions

What other information is needed to prove that the two triangles congruent by SAS? Picture description: there are two triangles showing line LT = line MQ and L=M A.

2. ### algebra

The fifth term of an A.P exceeds twice the second term by 1.The tenth term exceeds twice the fourth term by 3. Find:1.the first term. 2.the common difference. 3.the sum of first twenty five terms.

3. ### math

graph the line with slope 1/2 passing through the point(-5,-2) find the slope of the line 5x+5y=3 write answer in simplest from consider the line 2x-4y=4 what is the slope of a line perpendicular to this line. what jis the slope

4. ### Geometry

I need help on a geometry proof!!!! If Line AB is parallel to Line DC and Line BC is parallel to line AD, prove that angle B is congruent to angle D. The picture is basically a square or parallelogram with line DC on the Top and

1. ### Microeconomics

Monopolistic Competition A monopolistically competitive market could be considered inefficient because: A. Marginal revenue exceeds average revenue B. Price exceeds marginal cost C. Efficient scale is realized in the long run, but

2. ### Pre Albergra

The Pentagons ABCDE and PQRST are Similar: Find the length x of TP

3. ### English

1. Which line from the poem “Wave” best develops its tone? Wave My child (line 1) Born to me by water (line 2) And by water (line 3) Swept away. (line 4) (1 point) a) line one b) line two c) line four d) line three My Answer:

4. ### Statistics

A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not

1. ### maths

ABCDE is a Pentagon with BE parallel to CD and BC parallel to DE. BC is perpendicular to CD. if the perimeter of ABCDE is 21cm. Find the value of x and y.

2. ### math

ABCDE is a circle with centre O. The diameter, AC, is extended to the point F so that CF = 16 cm. The line BF is the tangent to the circle at B and FDE is a straight line such that FD = 18 cm and chord DE = 14 cm (D and E are

3. ### MATHEMATICS SCIENCE

ABCDE is a regular pentagon . find angles of triangle ADC

4. ### Science

Given the parent genotype AaBbCCDDEe, what is the probability of each of these gametes forming? a) ABCDE b) either ABCDE or abCDE Would the answer for a) be 1/8 and for b) be 1/2?