Question

Find the product of the roots of the quadratic equation 2 X square + 7 x minus 4 is equal to zero

Answer 1

Step-by-step explanation:

2x²+7x-4=0

2x2+8x-x-4=0

2x(x+4)-1(x+4)=0

x=-4 and x=1/2

Answer 2

Answer:

The product of the roots of the equation $2 x^2 + 7x - 4 = 0$ is -2 .

Step-by-step explanation:

Explanation:

Given , a quadratic equation  $2 x^2 + 7x - 4 = 0$  .

Let α and β be the roots of the quadratic equation .

And we know that, for any quadratic equation $ax^2 + bx+ c= 0$ ,

the sum of the roots (α+β) = $\frac{-b}{a}$ and the product of the roots(αβ) = $\frac{c}{a}$

Step 1:

From the given quadratic equation   $2 x^2 + 7x - 4 = 0$  we have ,

a = 2 , b = 7 and c = -4 .

Product of the roots (αβ) = $\frac{c}{a}$ = $\frac{-4}{2}$ = -2 .

Final answer:

Hence , -2 is the product of the roots of the equation $2 x^2 + 7x - 4 = 0$ .

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