SOLUTION: please can you explain how to find the solution to the quadratic equation with brackets in x(2x+5)=10

Question 215290This question is from textbook Higher GCSE Mathematics for Edexcel
: please can you explain how to find the solution to the quadratic equation with brackets in
x(2x+5)=10 This question is from textbook Higher GCSE Mathematics for Edexcel

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Distribute

Subtract 10 from both sides.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So the answers are or

which approximate to or
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