Draw the graph of x square -3x-10
Answers
EXPLANATION.
Draw graph of the equation.
⇒ x² - 3x - 10 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ x² - 5x + 2x - 10 = 0.
⇒ x(x - 5) + 2(x - 5) = 0.
⇒ (x + 2)(x - 5) = 0.
⇒ x = - 2 and x = 5.
⇒ y = x² - 3x - 10.
Put the value of x = - 2 in equation, we get.
⇒ y = (-2)² - 3(-2) - 10.
⇒ y = 4 + 6 - 10.
⇒ y = 10 - 10.
⇒ y = 0.
Their Co-ordinates = (-2,0).
Put the values of x = 5 in the equation, we get.
⇒ y = (5)² - 3(5) - 10.
⇒ y = 25 - 15 - 10.
⇒ y = 25 - 25.
⇒ y = 0.
Their Co-ordinates = (5,0).
Put the values of x = 0 in the equation, we get.
⇒ y = (0)² - 3(0) - 10.
⇒ y = - 10.
Their Co-ordinates = (0,-10).
Question:-
Draw the graph of the equation x² – 3x – 10 = 0.
Solution:-
First we need to factories the equation.
=> x² – 3x – 10 = 0.
=> x² + 2x – 5x – 10 = 5.
=> x (x + 2) – 5 (x + 2) = 0.
=> (x + 2) (x – 5) = 0.
=> x = – 2 and x = 5.
=> y = x² – 3x – 10.
Put x = (– 2) in the equation. we get,
=> y = ( – 2)² – 3 (– 2) – 10.
=> y = 4 + 6 – 10.
=> y = 10 – 10.
=> y = 0.
Their Co-ordinate = (– 2,0).
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Put x = (5) in the equation. we get,
=> y = (5)² – 3 (5) – 10.
=> y = 25 – 15 – 10.
=> y = 25 – 25.
=> y = 0.
Their Co-ordinate = (5,0).
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Put x = (0) in the equation. we get,
=> y = (0)² – 3 (0) – 10.
=> y = – 10.
Their Co-ordinate = (0,10).
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