Click to Chat
1800-2000-838
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Chapter 8: Quadratic Equations Exercise – 8.4 Question: 1 By using the method of completing the square, find the roots of quadratic equations. Solution: So, the roots for the given equation are: x = 3√2or x = √2. Question: 2 By using the method of completing the square, find the roots of quadratic equations. 2x2 − 7x + 3 = 0 Solution: 2x2 - 7x + 3 = 0 x = 12/4 or x = 2/4 x = 3 or x = ½ Question: 3 By using the method of completing the square, find the roots of quadratic equations. 3x2 + 11x + 10 = 0 Solution: 3x2+ 11x + 10 = 0 x = (-5)/3 or x = - 2 Question: 4 By using the method of completing the square, find the roots of quadratic equations. 2x2 + x − 4 = 0 Solution: 2x2 + x − 4 = 0 Are the two roots of the given equation. Question: 5 By using the method of completing the square, find the roots of quadratic equations. 2x2 + x + 4 = 0 Solution: 2x2 + x + 4 = 0 x2 + x2 + 2 = 0 Since, √(-31) is not a real number, Therefore, the equation doesn’t have real roots. Question: 6 By using the method of completing the square, find the roots of quadratic equations. Solution: Therefore, x = (- √3)/2 and x = (- √3)/2. Are the real roots of the given equation. Question: 7 By using the method of completing the square, find the roots of quadratic equations. Solution: Question: 8 By using the method of completing the square, find the roots of quadratic equations. Solution: Question: 9 By using the method of completing the square, find the roots of quadratic equations. Solution: x = √2 or x = 1. Question: 10 By using the method of completing the square, find the roots of quadratic equations. x2 - 4ax + 4a2 - b2 = 0 Solution: x2 - 4ax + 4a2 - b2 = 0 x2 - 2(2a).x + (2a)2 - b2 = 0 (x - 2a)2 = b2 x - 2a = ± b x - 2a = b or x - 2a = - b x = 2a + b or x = 2a - b Therefore, x = 2a + b or x = 2a - b are the two roots of the given equation.
By using the method of completing the square, find the roots of quadratic equations.
So, the roots for the given equation are: x = 3√2or x = √2.
2x2 − 7x + 3 = 0
2x2 - 7x + 3 = 0
x = 12/4 or x = 2/4
x = 3 or x = ½
3x2 + 11x + 10 = 0
3x2+ 11x + 10 = 0
x = (-5)/3 or x = - 2
2x2 + x − 4 = 0
Are the two roots of the given equation.
2x2 + x + 4 = 0
x2 + x2 + 2 = 0
Since, √(-31) is not a real number, Therefore, the equation doesn’t have real roots.
Therefore, x = (- √3)/2 and x = (- √3)/2. Are the real roots of the given equation.
x = √2 or x = 1.
x2 - 4ax + 4a2 - b2 = 0
x2 - 2(2a).x + (2a)2 - b2 = 0
(x - 2a)2 = b2 x - 2a = ± b x - 2a = b or x - 2a
= - b x = 2a + b or x = 2a - b
Therefore, x = 2a + b or x = 2a - b are the two roots of the given equation.
Signing up with Facebook allows you to connect with friends and classmates already using askIItians. It’s an easier way as well. “Relax, we won’t flood your facebook news feed!”
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
Chapter 8: Quadratic Equations Exercise –...
