The values of a are 54 and 81. The numbers are 54 and 81. 27 × 162 = 4374 now, rewrite the equation:
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Dividing both sides of the equation by the coefficient of 'a'. Calculate 27 × 162, which equals. Combining like terms simplifies the equation and makes it easier to solve.
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Step 2 set up the equation:
27 162 = a (135 a) 27⋅162 =a(135−a) the result is a quadratic equation: To solve the equation, we first expand the right side and then rearrange it into standard quadratic form. We are looking for two numbers that multiply to 4374 and add up to 135. Subtract the right hand side from the left hand side of:
Therefore, a = 54 or a = 81. Step 4 use the quadratic formula a =. To solve the equation, we first calculate the left side and then set up the equation to find the value of 'a'. A (135 a) + 4374 = 0 −a(135−a)+4374= 0
Remember to rearrange the equation into the standard quadratic form before applying the quadratic formula.
To solve the equation 27×162 = a×(135−a), we first calculate the left side and then rearrange the equation to form a quadratic equation. This gives us 4374, so we have the equation: The solutions for 'a' are 81 and 54. Step 1 calculate 27 * 162.
Step 3 rearrange the equation to: