Math, asked by tanujdorugade897, 6 months ago

x square + x-20=0 by fartor​

Answers

Answered by naina1348
2

Step-by-step explanation:

The solutions are x=4,x=−5

Explanation:

x2+x−20=0

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:

N1⋅N2=a⋅c=1⋅(−20)=−20

AND

N1+N2=b=1

After trying out a few numbers we get N1=−4 and N2=5

(−4)⋅5=−20, and 5+(−4)=1

x2+x−20=x2+5x−4x−20

=x(x+5)−4(x+5)

(x+5) is a common factor to each of the terms

=(x−4)(x+5)

We equate both factors to zero and obtain the solutions:

x−4=0,x=4

x+5=0,x=−5

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