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padilas [110]
3 years ago
13

What is the product of the 2 solutions of the equation x^2+3x-21=0

Mathematics
1 answer:
Advocard [28]3 years ago
3 0
X²+3x-21=0

1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2

2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21

Answer: the product of the 2 solutions of this equation is -21
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25° 35° to 205° circle ​
Lisa [10]

Answer:

x = 60

Step-by-step explanation:

the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

The sum of the arcs in a circle = 360° , then

intercepted arc = 360° - (35 + 25 + 205)° = 360° - 265° = 95°

then

x = \frac{1}{2} (95 + 25 ) = \frac{1}{2} × 120 = 60

3 0
2 years ago
parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF
Doss [256]

<u>Solution-</u>

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1-    ∠FTS ≅ ∠PTQ            ( ∵ These two are vertical angles)

2-   ∠TFS ≅ ∠TPQ            ( ∵ These two are alternate interior angles)

3-   ∠TSF ≅ ∠TQP            ( ∵ These two are also alternate interior angles)

<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}

\Rightarrow \frac{8}{5} =\frac{10-x}{x}

\Rightarrow x=3.85

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm




5 0
3 years ago
Solve problems <br>5 1/2×3 1/3​
makvit [3.9K]
5 1/2 X 3 1/3=18 1/3
6 0
2 years ago
Gabriel invested $77,000 in an account paying an interest rate of 3%
const2013 [10]

Answer:

Isabella earn 5604.54 more money than  Gabriel

Step-by-step explanation:

As we know

Compound interest (CI) = P (1 + \frac{r}{n})^{nt}

P is the principal amount

t is the time period

n is the number of time periods

r is the rate of interest

a)  CI for  Gabriel

= 77000 (1 + \frac{3}{100*12})^{12*6} = 92165.03 dollars

b) CI for Isabella

= 77000 (1 + \frac{4}{100*4})^{4*6} = 97769.57 dollars

Isabella earn 5604.54 more money than  Gabriel

7 0
2 years ago
Tres amigos. se van de viaje y quieren. alquilar un coche durante un fin de semana.
djyliett [7]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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