Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write the quadratic equation in standard form:

2x^(2)-3x-13=-2
Answer:

Write the quadratic equation in standard form:\newline2x23x13=2 2 x^{2}-3 x-13=-2 \newlineAnswer:

Full solution

Q. Write the quadratic equation in standard form:\newline2x23x13=2 2 x^{2}-3 x-13=-2 \newlineAnswer:
  1. Move Constant Term: To write the equation in standard form, we need to move all terms to one side of the equation to set it equal to zero.\newlineSo, we add 22 to both sides of the equation to move the constant term from the right side to the left side.\newline2x23x13+2=2+22x^{2} - 3x - 13 + 2 = -2 + 2
  2. Simplify Equation: After adding 22 to both sides, we simplify the equation.\newline2x23x13+2=02x^{2} - 3x - 13 + 2 = 0\newline2x23x11=02x^{2} - 3x - 11 = 0
  3. Standard Form: Now, the equation is in standard form, which is ax2+bx+c=0ax^{2} + bx + c = 0, where aa, bb, and cc are constants.\newlineHere, a=2a = 2, b=3b = -3, and c=11c = -11.

More problems from Quadratic equation with complex roots