Question

quadratic equation of 8x^2+16x+10=202​

Answer 1

Question:-

$8x {}^{2} + 16x + 10 = 202$

Solution:-

➪Move the terms to the left side;

$8x {}^{2} + 16x + 10 - 202 = 0$

➪ Subtract the numbers;

$8x {}^{2} + 16x - 192$

➪ Take out common factor;

$8(x {}^{2} + 2x - 24) = 0$

➪Divide both sides of the equation by the same term;

$x {}^{2} + 2x - 24 = 0$

➪ Use the quadratic formula;

In the attachment

➪Simplify

• Evaluate the exponent

• Multiply the numbers

• Multiply the numbersAdd the numbers

• Multiply the numbersAdd the numbersEvaluate the square root

• Multiply the numbersAdd the numbersEvaluate the square rootMultiply the numbers

=>

$x = \frac{ - 2 + ( - 10)}{2}$

➪Separate the equations

• To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus

$x = \frac{ - 2 + 10}{2}$

$x = \frac{ - 2 - 10}{2}$

➪Solve

• Rearrange and isolate the variable to find each solution

x=4

x=-6

Solved ✔︎