1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrei [34K]
3 years ago
12

Factorise x^2-3x+10=0

Mathematics
2 answers:
ad-work [718]3 years ago
7 0

<h2><u>☯ Given</u></h2>

\normalsize\sf\ x^2 - 3x - 10 x

<h2><u>☯ To find </u></h2>

\normalsize\sf\ Roots \: of \: Equation

\underline{\bigstar\:\textsf{By \: using \: Quadratic \: formula:}}

\normalsize\ : \implies\sf\ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

\normalsize\ : \implies\sf\ x = \frac{-(-3) \pm \sqrt{(3)^2 - 4 \times\ 1 \times\ (-10)}}{2 \times\ 1}

\normalsize\ : \implies\sf\ x = \frac{3 \pm \sqrt{9 - (-40)}}{2}

\normalsize\ : \implies\sf\ x = \frac{3 \pm \sqrt{9 + 40}}{2}

\normalsize\ : \implies\sf\ x = \frac{3 \pm \sqrt{49}}{2}

\normalsize\ : \implies\sf\ x = \frac{3 \pm 7}{2}

\normalsize\ : \implies\sf\ x = \frac{ 3 + 7}{2} \: \: or \: \: \frac{3 - 7}{2}

\normalsize\ : \implies\sf\ x = \frac{\cancel{10}}{\cancel{2}} \: \: or \: \: \frac{\cancel{-4}}{\cancel{2}}

\normalsize\ : \implies\sf\ x = 5 \: \: or \: \: -2

\normalsize\ : \implies{\underline{\boxed{\sf \red{ x = 5 \: \: or \: \: -2}}}}

\therefore\:\underline{\textsf{Hence, \: the \: value \: of \: x \: is}{\textbf{\: 5 \: or \: -2}}}

\underline{\bigstar\:\textsf{By \: using \: Middle \: term \: factorization:}}

\normalsize\dashrightarrow\sf\ x^2 - 3x - 10 = 0

\normalsize\dashrightarrow\sf\ x^2 - 5x + 2x - 10 = 0

\normalsize\dashrightarrow\sf\ x(x - 5) + 2(x - 5) = 0

\normalsize\dashrightarrow\sf\ (x - 5)(x + 2) = 0

\normalsize\dashrightarrow\sf\ (x - 5) = 0 \: or \: (x + 2) = 0

\normalsize\dashrightarrow\sf\ x = 0 + 5 \: or \: x = 0 - 2

\normalsize\dashrightarrow\sf\ x = 5 \: or \: x = -2

\normalsize\dashrightarrow{\underline{\boxed{\sf \red{x = 5 \: or \: -2}}}}

\therefore\:\underline{\textsf{Hence, \: the \: value \: of \: x \: is}{\textbf{\: 5 \: or \: -2}}}

Mila [183]3 years ago
6 0
(x-5)(x+2)=0
roots: x=5 and x= -2
see attached photo for steps

You might be interested in
A person wants to increase a (5 in. by 7 in.) photo to an (8 in. by 10 in.) but since the aspect ratios are not the same some of
Llana [10]

Answer:

89.3

Step-by-step explanation:

3 0
3 years ago
Write an equation in point-slope form of the line with slope –8 that contains the point j(–3, 2).
patriot [66]
The point-slope formula is y-y1=m(x-x1). You will then substitute into this equation. The answer will be y-2=-8(x+3).
4 0
3 years ago
George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He
krek1111 [17]

Answer:

I think that they all have fairness in the class assignment process.

I think this because of the way that more people take art club than art class,

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How many triangles can be drawn with one 90° angle ,a 70° angle, and an included side measuring 3 inches?explain
gogolik [260]

Answer:

1

Step-by-step explanation:

once we know 2 of the angles we can find a third. once we have all 3 angles we only need one side length to tell us how big it is.

Bonus question: How many triangles can be drawn with one 3 inch side ,a 4 inch side, and a  20ºangle?

7 0
3 years ago
What two integers have a product of -35 and a sum -2
vovangra [49]

-7 and 5. The product would be -35 and the sum -2.

Hope this helps

8 0
3 years ago
Other questions:
  • City L has a temperature of −3 °F. City M has a temperature of −7 °F. Use the number line shown to answer the questions: Number
    13·1 answer
  • You find 72 coins consisting only of nickels, dimes, and quarters, with a face value of $10.20. However, the coins all date from
    15·1 answer
  • The price of a pair of jeans at a store increased by 25% to $40. Find the price of the pair of jeans before the increase
    11·1 answer
  • The volume of a cube is 1000cm^3. what is the length of an edge
    15·1 answer
  • A box contains five balls numbered 1, 2, 3, 4, 5. Three balls are drawn randomly at the same time from the box.
    13·1 answer
  • 8 + 12 = 2x<br><br> HELPPPP GOOD ANSWERS
    8·2 answers
  • HELP!
    14·2 answers
  • Is the function below linear or non linear y= 8/x + 5
    7·1 answer
  • What is the rhyme scheme of this poem?
    9·2 answers
  • A plane travels at a constant speed. It takes 7 hours to travel 3,780 miles. What is the plane’s speed in miles per hour.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!