Question

Please help with this math problem

Answer 1

$x=2+½*\sqrt{10}$

or

$x=2-½*\sqrt{10}$

Answer:

Solution given:

y=2x²-5x+6.....[1]

y=3x+3.........….[2]

solving equation 1&2

2x²-5x+6=3x+3

2x²-5x-3x+6-3=0

2x²-8x+3=0

comparing above equation with ax²+bx+c=0 we get

a=2

b=-8

c=3

by using quadratic equation

$x=\frac{+8±\sqrt{(-8)²-4*2*3}}{2*2}$

$x=\frac{+8±2\sqrt{10}}{4}$

taking positive

$x=\frac{+8+2\sqrt{10}}{4}$

$x=2+½*\sqrt{10}$

taking negative

$x=2-½*\sqrt{10}$