Practice30 Create account

Find the roots of $x^{2} - 6$ $2$ $x + 16 = 0$ by factorising.

Class 10Solving by FactorisationQuadratic Equations

A $x = 22, 42$
B $x = 2, 82$
C $x = - 22, - 42$
D $x = 4, 42$

Step-by-Step Solution

Product 16, sum 6

2

; split as 2

2

and 4

2

(their product 8*2=16, sum 6

2) . x^{2} - 2

2

x - 42

x + 16 = (x - 22) (x - 42) = 0

. So

x = 2

2

or 4

2

.

Answer: A)

x = 22, 42

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Solving by Factorisation practice questions

More Class 10 Solving by Factorisation practice

A garden in Pune is 16 m by 10 m. A uniform path of width x m is built inside along all…A motorboat goes 30 km upstream and 30 km back in a total of 10 hours. The speed of the…If one root of x^2 - 7x + k = 0 is 3, find the value of k.Splitting the middle term, which values of x satisfy x^2 - 7x + 10 = 0?The product of two consecutive positive integers is 56. Set up a quadratic and solve by…