Question

what is the solution of the quadratic equation 2x² - 7x + 6 = 0?

A.) -3/2 , 2
B.) 3/2 , 2
C.) -2 , 3/2
D.)2 , 2/3

Answer 1

2x² - 7x + 6 = 0

By middle term factorization

2x² - 4x - 3x + 6 = 0

2x ( x - 2 ) - 3 ( x - 2 ) = 0

( 2x - 3 ) ( x - 2 ) = 0

Using zero product rule

2x - 3 = 0 and x - 2 = 0

x = 3 / 2 and x = 2

Hence, option B.) is correct.

Answer 2

Answer:

The answer to the given question is The value of x is 2 and 3/2.

Therefore, the correct option is B

Step-by-step explanation:

Given :

The quadratic equation 2x² - 7x + 6 = 0

To find :

we have to find the solution to the quadratic equation.

Solution :

The solution of this quadratic equation is found by factorising the given equation.

On factorising we get the values as two numbers.

we have to find 2 numbers whose product will be 12 and the sum will be -7

The two numbers will be -3 and -4, where the sum is -7 and the product is 12.

$2 {x}^{2} - 4x - 3x + 6 = 0 \\ 2x(x - 2) - 3(x - 2) = 0 \\ (2x - 3)(x - 2) = 0$

Then here, we have to use the zero-product rule

$2x - 3 = 0 \: \: \: and \: \: x - 2 = 0$

The constant value on the left side will move to the right side and the changes in the signature.

$2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2}$

one of the values of x is obtained as 3/2.

Then the other value will be

$x - 2 = 0 \\ x = 2$

Therefore, the solution to the equation will be the value of x is 2 and 3/2.

Therefore, the correct option is B.

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