Question

2x square - 11x +14=0​

Answer 1

Answer:

Do we have to factorize it

if yes.

2x²-11x+14=0

2x²-7x-4x+14=0

x(2x-7)-2(2x-7)=0

(x-2)(2x-7)=0

x=2. or x=7/2=3.5

Answer 2

Complete Question :

Calculate the zeros of the given quadratic equation

                                  $2x^2-11x+14=0$

Answer:

$x=\frac{7}{2}$  and $x=2$

Step-by-step explanation:

Given Quadratic Equation :

                          $2x^2-11x+14=0$

To Find: Zeros of the Equation

Solution :

By comparing given quadratic equation with standard form of Quadratic equation -

                               $ax^2+bx+c=0$

we get that a = 2 ,b = -11 ,c = 14

Since we know that solution of quadratic equation is

                              $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

                        $x=\frac{-(-11)\pm \sqrt{(-11)^2-4(2)(14)}}{2 \ \text{x} \ 2}$

                        $x=\frac{11 \pm \sqrt{121-112}}{4}$

                        $x=\frac{11\pm \sqrt{9}}{4}$

                        $x=\frac{11\pm 3}{4}$

So we get

      $x=\frac{11+3}{4}$             and     $x=\frac{11-3}{4}$

       $x=\frac{14}{4}=\frac{7}{2}$        and      $x=\frac{8}{4}$

hence we get  $x=\frac{7}{2}$ and x = 2

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