In a class, a teacher has given a quadratic equation $x^{2}$ -3x+2=0 to solve. A kid in the class replied that we can solve by writing coefficient of x as a sum of the factors of constant. The teacher replied we can’t solve like that. Is the teacher’s reply true or false?

True

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False

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Solution

The correct option is B
False

The given equation is $x^{2}$ -3x+2=0

2 can be factorized into 2 and 1

i.e, 2= 2 $\times$ 1

we can write 3 as 2+1

Therefore the given equation becomes $x^{2}$ -2x-x+2

$\Rightarrow$ x(x-2)-1(x-2) = 0

$\Rightarrow$ (x-1)(x-2) = 0

x=1 , 2

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In a class, a teacher has given a quadratic equation x2-3x+2=0 to solve. A kid in the class replied that we can solve by writing coefficient of x as a sum of the factors of constant. The teacher replied we can’t solve like that. Is the teacher’s reply true or false?

The correct option is B False The given equation is x2-3x+2=0 2 can be factorized into 2 and 1 i.e, 2= 2 ×1 we can write 3 as 2+1 Therefore the given equation becomes x2-2x-x+2 ⇒x(x-2)-1(x-2) = 0 ⇒ (x-1)(x-2) = 0 x=1 , 2

In a class, a teacher has given a quadratic equation $x^{2}$ -3x+2=0 to solve. A kid in the class replied that we can solve by writing coefficient of x as a sum of the factors of constant. The teacher replied we can’t solve like that. Is the teacher’s reply true or false?

The correct option is B
False

The given equation is $x^{2}$ -3x+2=0

2 can be factorized into 2 and 1

i.e, 2= 2 $\times$ 1

we can write 3 as 2+1

Therefore the given equation becomes $x^{2}$ -2x-x+2

$\Rightarrow$ x(x-2)-1(x-2) = 0

$\Rightarrow$ (x-1)(x-2) = 0

x=1 , 2