हिंदी

To decide whether 1 is a root of quadratic equation x2 + 4x – 5 = 0 or not, complete the following activity. Activity: When x = (______)L.H.S. = 12 + 4(______) – 5= 1 + 4 – 5= (______) – 5= ______= R - Algebra

Advertisements
Advertisements

प्रश्न

To decide whether 1 is a root of quadratic equation x2 + 4x – 5 = 0 or not, complete the following activity.

Activity: When x = (______)
L.H.S. = 12 + 4(______) – 5
= 1 + 4 – 5
= (______) – 5
= ______
= R.H.S
Therefore x = 1 is a root of quadratic equation x2 + 4x – 5 = 0

रिक्त स्थान भरें
योग

उत्तर

When x = 1,

L.H.S. = 12 + 4(1) – 5

= 1 + 4 – 5

= 5 – 5

= 0

= R.H.S.

Therefore x = 1 is a root of quadratic equation x2 + 4x – 5 = 0.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Quadratic Equations - Q.2 (A)

संबंधित प्रश्न

Solve : 7y = -3y2 - 4 


If the roots of x² + kx + k = 0 are real and equal, what is the value of k?


If one root of the quadratic, x2 - 7x + k = 0 is 4. then find the value of k.


Choose the correct alternative answer for the following sub questions and write the correct alphabet.

Degree of quadratic equation is always ______


Write the roots of following quadratic equation.

(p – 5) (p + 3) = 0


If one of the roots of quadratic equation x2 + kx + 54 = 0 is – 6, then complete the following activity to find the value of ‘k’.

Activity: One of the roots of the quadratic equation x2 + kx + 54 = 0 is – 6.

Therefore let’s take x = ______

(– 6)2 + k(– 6) + 54 = 0

(______) – 6k + 54 = 0

– 6k + ______ = 0

k = ______


If one of the roots of quadratic equation x2 – kx – 15 = 0 is – 3, then find the value of ‘k’


Solve the following quadratic equations by formula method.

`y^2 + 1/3y` = 2


Form a quadratic equation if the roots of the quadratic equation are `2 + sqrt(7)` and `2 - sqrt(7)`


Solve the following quadratic equation.

`1/(4 - "p") - 1/(2 + "p") = 1/4`


Sum of the roots of the quadratic equation is 5 and sum of their cubes is 35, then find the quadratic equation


Determine whether (x – 3) is a factor of polynomial x3 – 19x + 30.

Let P(x) = x3 – 19x + 30

By remainder theorem, `square` will be a factor of P(x), if P(3) = 0

Now, P(3) = `square` – 19 `square` + 30

= `square  –  square` + 30

= `square  –  square`

= 0

∵ P(3) = 0

Hence, `square` is a factor of polynomial x3 – 19x + 30.


If the sum of the roots of the quadratic equation x2 + kx + 6 = 0 is 6, then the value of k is ______.


If the roots of the quadratic equation x2 + 12x + a = 0 are real and equal, then find the value of a.


Show that (x + 1) is a factor of the polynomial `x^3 - x^2 - (2 + sqrt(2))x + sqrt(2)`.


Is (x – 5) a factor of the polynomial x3 – 5x – 30?


If 3 is one of the roots of the quadratic equation kx2 − 7x + 12 = 0, then k = ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×