Write x^2+6x-7 in the form (x+a)^2+b where a and b are integers
Complete the square.We want a quadratic we can simplify.Halve the linear term coefficient (6) and square it.Add it to the (x2+6x) term and subtract it from the 7.x2+6x+(6/2)2-7-(6/2)2As you can see the equation still holds true as the +(6/2)2 and -(6/2)2 cancels out.Gives x2+6x+9-7-9x2+6x+9 simplifies to (x+3)(x+3) or (x+3)2Left with (x+3)2-16
GB
Related Maths GCSE answers
All answers ▸How do I solve the equation 5y+18=3y+4?
Renee buys 5 kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250 g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.
2 sides of a right-angled triangle are 5cm and 6cm. Calculate the length of the hypotenuse.
Help! How do I solve quadratic equations?