Question

Find the zeros of the quadratic expression x2+2x-143

Answer 1

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Solution

Answer 2

Answer:

Required zeroes of the given polynomial expression x²+2x-143 are (-13) and 11.

Step-by-step explanation:

We know,

Quadratic equations are two-degree algebraic expressions and are of the form $a {x}^{2} + bx + c = 0$

By example,we can understand this concept more easily.

We are taking a equation $2 {x}^{2} + 3x + 1 = 0$

This equation is a second degree equation and form of the equation is same as a quadratic equation.

So,

$2 {x}^{2} + 3x + 1 = 0$ is a quadratic equation.

Here,

${x}^{2} + 2x - 143 = 0 \\ {x}^{2} + (13 - 11)x - 143 = 0 \\ {x}^{2} + 13x - 11x - 143 = 0 \\ x(x + 13) - 11(x + 13) = 0 \\ (x + 13)(x - 11) = 0$

We know product of two terms is zero then they are separately zero.

So,

$x + 13 = 0 \\ x = - 13$

and

$x \times 11 = 0 \\ x = 11$

Therefore required zeroes of the given polynomial expression are (-13) and 11.

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