Question

2 x square - 17 x - 30 ​

Answer 1

Step-by-step explanation:

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Answer 2

Factorise

2x² -17x -30

Factorise the given quadratic equation by the sum product pattern . Split 17x into (-20x) and 3x and solve it further.

Let's proceed!

$\sf{2x² -17x-30}$

$\sf{ \implies 2x² -20x +3x -30}$

$\sf{ \implies 2x \red{(x-10)}+3 \red{(x-10)}}$

$\sf{ \implies (2x+3)(x-10)}$

$\sf{ \implies \green{x = \frac{-3}{2} \: \: or \: \: 10}}$

So the value of x is 3/2 or 10

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Methods to solve quadratic equations

• middle term splitting
• completing the square
• Quadratic Formula