Question

Factoring by grouping1) x² + x² – 3x – 3 = 0​

Answer 1

The value of x is x$\geq -0.686$ and x$\leq 2.186$

Step-by-step explanation:

Factorisation is not possible in this case since the 2 pairs available will not be giving the same outcome as required in factorisation.

This is a quadratic equation

x² + x² – 3x – 3 = 0​

2x² - 3x - 3 = 0

Quadratic formula:

$\frac{-b±\sqrt{b^{2} }-4ac }{2a}$

a=2

b= -3

x= -3

$\frac{-(-3)+\sqrt{-3^{2} }-4(2)(-3) }{2(2)}$

= $\frac{3+\sqrt{33} }{4}$

= 2.186

or

$\frac{-(-3)-\sqrt{-3^{2} }-4(2)(-3) }{2(2)}$

= $\frac{3-\sqrt{33} }{4}$

= -0.686

Therefore, the value of x is,

x$\geq -0.686$ and x$\leq 2.186$

Keyword: Factoring, Quadratic

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