0=x2-4.75x+3

Rewrite the equation as x2-4.75x+3=0.

x2-4.75x+3=0

Use the quadratic formula to find the solutions.

-b±b2-4(ac)2a

Substitute the values a=1, b=-4.75, and c=3 into the quadratic formula and solve for x.

4.75±(-4.75)2-4⋅(1⋅3)2⋅1

Simplify the numerator.

Raise -4.75 to the power of 2.

x=4.75±22.5625-4⋅(1⋅3)2⋅1

Multiply 3 by 1.

x=4.75±22.5625-4⋅32⋅1

Multiply -4 by 3.

x=4.75±22.5625-122⋅1

Subtract 12 from 22.5625.

x=4.75±10.56252⋅1

x=4.75±10.56252⋅1

Multiply 2 by 1.

x=4.75±10.56252

x=4.75±10.56252

Simplify the numerator.

Raise -4.75 to the power of 2.

x=4.75±22.5625-4⋅(1⋅3)2⋅1

Multiply 3 by 1.

x=4.75±22.5625-4⋅32⋅1

Multiply -4 by 3.

x=4.75±22.5625-122⋅1

Subtract 12 from 22.5625.

x=4.75±10.56252⋅1

x=4.75±10.56252⋅1

Multiply 2 by 1.

x=4.75±10.56252

Change the ± to +.

x=4.75+10.56252

Add 4.75 and 10.5625.

x=82

Divide 8 by 2.

x=4

x=4

Simplify the numerator.

Raise -4.75 to the power of 2.

x=4.75±22.5625-4⋅(1⋅3)2⋅1

Multiply 3 by 1.

x=4.75±22.5625-4⋅32⋅1

Multiply -4 by 3.

x=4.75±22.5625-122⋅1

Subtract 12 from 22.5625.

x=4.75±10.56252⋅1

x=4.75±10.56252⋅1

Multiply 2 by 1.

x=4.75±10.56252

Change the ± to -.

x=4.75-10.56252

Subtract 10.5625 from 4.75.

x=1.52

Divide 1.5 by 2.

x=0.75

x=0.75

The final answer is the combination of both solutions.

x=4,0.75

Solve using the Square Root Property 0=x^2-4.75x+3