Question

I hate asking for help, but maths GCSE edexcel people or anyone who can do this please help! Need explanation

Answer 1

x ≈ 0.6 , x ≈ 3.4

Explanation:

the solutions to the quadratic equation from the graph are where the graph crosses the x- axis.

these are at approximately x = 0.6 and x = 3.4

Answer 2

Basically to find solutions of the equation. Find the x intercept points.

Equation: x² - 4x + 2

when solved using quadratic formula:

`\dashrightarrow \sf x_(1,2)= (-\left(-4\right)\pm √(\left(-4\right)^2-4\cdot \:1\cdot \:2))/(2\cdot \:1)`

`\dashrightarrow \sf x_1 (-\left(-4\right)+2√(2))/(2\cdot \:1),\:x_2=(-\left(-4\right)-2√(2))/(2\cdot \:1)`

`\dashrightarrow \sf x=2+√(2), \ 2-√(2)`

`\dashrightarrow \sf x=3.414, \ 0.586`

These are the solutions to the quadratic equation.