Question

quadratic equation by factoring :

2x^2 + 5x -7 = 0

with explanation please

Answer 1

Question:

Quadratic Equation By Factoring With Explanation:

$Q) \: 2x² + 5x - 7 = 0$

Answer:

$Q) \: 2x² + 5x - 7 = 0$

$→ 2x² - (7 -2)x - 7 = 0$

$→2x² - 7x + 2x - 7 = 0$

$→x(2x - 7) + 1(2x - 7) = 0$

$→(2x - 7) (x + 1) = 0$

Either,

$2x - 7 = 0$

$→2x = 7$

$→x = \frac{7}{2} \: or \: 3.5$

Or,

$x + 1 = 0$

$→x = -1$

How to get it:

1. At first we need to convert the expression into standard form ,i.e., ax² + bx + c = 0(The given question has a negative sign so we will write it like this “ax² + bx - c”).
2. Then we need to factorise the left hand side.
3. At last we need to put each of the factors equal to zero and solve them.

Explanation:

The given expression is in the form of “ax² + bx + c”. In this case we divide the b into two parts in such a way that the sum is equal to b and thier product is equal to the product of a and c.

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